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Finding the Fourth Proportional to 16,456.50, 22,710.24 and 9,386.82

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Solution

The fourth proportional to 16,456.50, 22,710.24 and 9,386.82 is: 12,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.50 : 22,710.24 = 9,386.82 : x
  2. Step 2: Convert to fraction form
    16,456.50/22,710.24 = 9,386.82/x
  3. Step 3: Cross multiply
    16,456.50x = 22,710.24 × 9,386.82
  4. Step 4: Simplify right side
    16,456.50x = 213,176,935.04
  5. Step 5: Solve for x
    x = 213,176,935.04/16,456.50
  6. Step 6: Final answer
    x = 12,953.97

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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.