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Finding the Fourth Proportional to 16,487.52, 22,754.16 and 9,036

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Solution

The fourth proportional to 16,487.52, 22,754.16 and 9,036 is: 12,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.52 : 22,754.16 = 9,036 : x
  2. Step 2: Convert to fraction form
    16,487.52/22,754.16 = 9,036/x
  3. Step 3: Cross multiply
    16,487.52x = 22,754.16 × 9,036
  4. Step 4: Simplify right side
    16,487.52x = 205,606,589.76
  5. Step 5: Solve for x
    x = 205,606,589.76/16,487.52
  6. Step 6: Final answer
    x = 12,470.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.