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Finding the Fourth Proportional to 12,574.52, 18,864.69 and 3,689.49

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Solution

The fourth proportional to 12,574.52, 18,864.69 and 3,689.49 is: 5,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.52 : 18,864.69 = 3,689.49 : x
  2. Step 2: Convert to fraction form
    12,574.52/18,864.69 = 3,689.49/x
  3. Step 3: Cross multiply
    12,574.52x = 18,864.69 × 3,689.49
  4. Step 4: Simplify right side
    12,574.52x = 69,601,037.95
  5. Step 5: Solve for x
    x = 69,601,037.95/12,574.52
  6. Step 6: Final answer
    x = 5,535.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.