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Finding the Fourth Proportional to 11,594,600.57, 16,006,760.75 and 8,939,649.40

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Solution

The fourth proportional to 11,594,600.57, 16,006,760.75 and 8,939,649.40 is: 12,341,505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594,600.57 : 16,006,760.75 = 8,939,649.40 : x
  2. Step 2: Convert to fraction form
    11,594,600.57/16,006,760.75 = 8,939,649.40/x
  3. Step 3: Cross multiply
    11,594,600.57x = 16,006,760.75 × 8,939,649.40
  4. Step 4: Simplify right side
    11,594,600.57x = 143,094,829,117,013.28
  5. Step 5: Solve for x
    x = 143,094,829,117,013.28/11,594,600.57
  6. Step 6: Final answer
    x = 12,341,505.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.