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Finding the Fourth Proportional to 16,129.60, 22,264.07 and 10,454.33

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Solution

The fourth proportional to 16,129.60, 22,264.07 and 10,454.33 is: 14,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.60 : 22,264.07 = 10,454.33 : x
  2. Step 2: Convert to fraction form
    16,129.60/22,264.07 = 10,454.33/x
  3. Step 3: Cross multiply
    16,129.60x = 22,264.07 × 10,454.33
  4. Step 4: Simplify right side
    16,129.60x = 232,755,938.31
  5. Step 5: Solve for x
    x = 232,755,938.31/16,129.60
  6. Step 6: Final answer
    x = 14,430.36

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