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Finding the Fourth Proportional to 12,458.53, 18,691.40 and 3,693.65

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Solution

The fourth proportional to 12,458.53, 18,691.40 and 3,693.65 is: 5,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.53 : 18,691.40 = 3,693.65 : x
  2. Step 2: Convert to fraction form
    12,458.53/18,691.40 = 3,693.65/x
  3. Step 3: Cross multiply
    12,458.53x = 18,691.40 × 3,693.65
  4. Step 4: Simplify right side
    12,458.53x = 69,039,545.57
  5. Step 5: Solve for x
    x = 69,039,545.57/12,458.53
  6. Step 6: Final answer
    x = 5,541.55

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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.