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Finding the Fourth Proportional to 16,513.50, 22,789 and 9,440.58

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Solution

The fourth proportional to 16,513.50, 22,789 and 9,440.58 is: 13,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.50 : 22,789 = 9,440.58 : x
  2. Step 2: Convert to fraction form
    16,513.50/22,789 = 9,440.58/x
  3. Step 3: Cross multiply
    16,513.50x = 22,789 × 9,440.58
  4. Step 4: Simplify right side
    16,513.50x = 215,141,377.62
  5. Step 5: Solve for x
    x = 215,141,377.62/16,513.50
  6. Step 6: Final answer
    x = 13,028.21

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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.