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Finding the Fourth Proportional to 12,454.38, 18,681.54 and 6,613.74

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Solution

The fourth proportional to 12,454.38, 18,681.54 and 6,613.74 is: 9,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.38 : 18,681.54 = 6,613.74 : x
  2. Step 2: Convert to fraction form
    12,454.38/18,681.54 = 6,613.74/x
  3. Step 3: Cross multiply
    12,454.38x = 18,681.54 × 6,613.74
  4. Step 4: Simplify right side
    12,454.38x = 123,554,848.36
  5. Step 5: Solve for x
    x = 123,554,848.36/12,454.38
  6. Step 6: Final answer
    x = 9,920.59

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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.