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Finding the Fourth Proportional to 14,649.18, 21,978.33 and 4,260.96

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Solution

The fourth proportional to 14,649.18, 21,978.33 and 4,260.96 is: 6,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.18 : 21,978.33 = 4,260.96 : x
  2. Step 2: Convert to fraction form
    14,649.18/21,978.33 = 4,260.96/x
  3. Step 3: Cross multiply
    14,649.18x = 21,978.33 × 4,260.96
  4. Step 4: Simplify right side
    14,649.18x = 93,648,785.00
  5. Step 5: Solve for x
    x = 93,648,785.00/14,649.18
  6. Step 6: Final answer
    x = 6,392.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.