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Finding the Fourth Proportional to 16,737.85, 23,098.96 and 10,022.20

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Solution

The fourth proportional to 16,737.85, 23,098.96 and 10,022.20 is: 13,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,737.85 : 23,098.96 = 10,022.20 : x
  2. Step 2: Convert to fraction form
    16,737.85/23,098.96 = 10,022.20/x
  3. Step 3: Cross multiply
    16,737.85x = 23,098.96 × 10,022.20
  4. Step 4: Simplify right side
    16,737.85x = 231,502,256.36
  5. Step 5: Solve for x
    x = 231,502,256.36/16,737.85
  6. Step 6: Final answer
    x = 13,831.06

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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.