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Finding the Fourth Proportional to 20,531.16, 30,755.16 and 16,128

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Solution

The fourth proportional to 20,531.16, 30,755.16 and 16,128 is: 24,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,531.16 : 30,755.16 = 16,128 : x
  2. Step 2: Convert to fraction form
    20,531.16/30,755.16 = 16,128/x
  3. Step 3: Cross multiply
    20,531.16x = 30,755.16 × 16,128
  4. Step 4: Simplify right side
    20,531.16x = 496,019,220.48
  5. Step 5: Solve for x
    x = 496,019,220.48/20,531.16
  6. Step 6: Final answer
    x = 24,159.34

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