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Finding the Fourth Proportional to 16,419.16, 22,665.90 and 10,459

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Solution

The fourth proportional to 16,419.16, 22,665.90 and 10,459 is: 14,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.16 : 22,665.90 = 10,459 : x
  2. Step 2: Convert to fraction form
    16,419.16/22,665.90 = 10,459/x
  3. Step 3: Cross multiply
    16,419.16x = 22,665.90 × 10,459
  4. Step 4: Simplify right side
    16,419.16x = 237,062,648.10
  5. Step 5: Solve for x
    x = 237,062,648.10/16,419.16
  6. Step 6: Final answer
    x = 14,438.17

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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.