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Finding the Fourth Proportional to 12,288.15, 16,957.17 and 7,252.56

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Solution

The fourth proportional to 12,288.15, 16,957.17 and 7,252.56 is: 10,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.15 : 16,957.17 = 7,252.56 : x
  2. Step 2: Convert to fraction form
    12,288.15/16,957.17 = 7,252.56/x
  3. Step 3: Cross multiply
    12,288.15x = 16,957.17 × 7,252.56
  4. Step 4: Simplify right side
    12,288.15x = 122,982,892.86
  5. Step 5: Solve for x
    x = 122,982,892.86/12,288.15
  6. Step 6: Final answer
    x = 10,008.25

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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.