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Finding the Fourth Proportional to 16,456.54, 22,710.50 and 9,382.82

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Solution

The fourth proportional to 16,456.54, 22,710.50 and 9,382.82 is: 12,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.54 : 22,710.50 = 9,382.82 : x
  2. Step 2: Convert to fraction form
    16,456.54/22,710.50 = 9,382.82/x
  3. Step 3: Cross multiply
    16,456.54x = 22,710.50 × 9,382.82
  4. Step 4: Simplify right side
    16,456.54x = 213,088,533.61
  5. Step 5: Solve for x
    x = 213,088,533.61/16,456.54
  6. Step 6: Final answer
    x = 12,948.56

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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.