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Finding the Fourth Proportional to 16,460.70, 22,715.82 and 9,387.24

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Solution

The fourth proportional to 16,460.70, 22,715.82 and 9,387.24 is: 12,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.70 : 22,715.82 = 9,387.24 : x
  2. Step 2: Convert to fraction form
    16,460.70/22,715.82 = 9,387.24/x
  3. Step 3: Cross multiply
    16,460.70x = 22,715.82 × 9,387.24
  4. Step 4: Simplify right side
    16,460.70x = 213,238,854.14
  5. Step 5: Solve for x
    x = 213,238,854.14/16,460.70
  6. Step 6: Final answer
    x = 12,954.42

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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.