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Finding the Fourth Proportional to 16,488.09, 22,753.47 and 9,414.53

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Solution

The fourth proportional to 16,488.09, 22,753.47 and 9,414.53 is: 12,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.09 : 22,753.47 = 9,414.53 : x
  2. Step 2: Convert to fraction form
    16,488.09/22,753.47 = 9,414.53/x
  3. Step 3: Cross multiply
    16,488.09x = 22,753.47 × 9,414.53
  4. Step 4: Simplify right side
    16,488.09x = 214,213,232.78
  5. Step 5: Solve for x
    x = 214,213,232.78/16,488.09
  6. Step 6: Final answer
    x = 12,992.00

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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.