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Finding the Fourth Proportional to 16,459.18, 22,711.89 and 9,745.10

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Solution

The fourth proportional to 16,459.18, 22,711.89 and 9,745.10 is: 13,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.18 : 22,711.89 = 9,745.10 : x
  2. Step 2: Convert to fraction form
    16,459.18/22,711.89 = 9,745.10/x
  3. Step 3: Cross multiply
    16,459.18x = 22,711.89 × 9,745.10
  4. Step 4: Simplify right side
    16,459.18x = 221,329,639.24
  5. Step 5: Solve for x
    x = 221,329,639.24/16,459.18
  6. Step 6: Final answer
    x = 13,447.19

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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.