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Finding the Fourth Proportional to 16,002.57, 22,087.49 and 9,720.21

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Solution

The fourth proportional to 16,002.57, 22,087.49 and 9,720.21 is: 13,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.57 : 22,087.49 = 9,720.21 : x
  2. Step 2: Convert to fraction form
    16,002.57/22,087.49 = 9,720.21/x
  3. Step 3: Cross multiply
    16,002.57x = 22,087.49 × 9,720.21
  4. Step 4: Simplify right side
    16,002.57x = 214,695,041.17
  5. Step 5: Solve for x
    x = 214,695,041.17/16,002.57
  6. Step 6: Final answer
    x = 13,416.29

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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.