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Finding the Fourth Proportional to 14,893.92, 22,335.48 and 5,531.76

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Solution

The fourth proportional to 14,893.92, 22,335.48 and 5,531.76 is: 8,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.92 : 22,335.48 = 5,531.76 : x
  2. Step 2: Convert to fraction form
    14,893.92/22,335.48 = 5,531.76/x
  3. Step 3: Cross multiply
    14,893.92x = 22,335.48 × 5,531.76
  4. Step 4: Simplify right side
    14,893.92x = 123,554,514.84
  5. Step 5: Solve for x
    x = 123,554,514.84/14,893.92
  6. Step 6: Final answer
    x = 8,295.63

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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.