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Finding the Fourth Proportional to 12,578.48, 18,874.80 and 11,587.04

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Solution

The fourth proportional to 12,578.48, 18,874.80 and 11,587.04 is: 17,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.48 : 18,874.80 = 11,587.04 : x
  2. Step 2: Convert to fraction form
    12,578.48/18,874.80 = 11,587.04/x
  3. Step 3: Cross multiply
    12,578.48x = 18,874.80 × 11,587.04
  4. Step 4: Simplify right side
    12,578.48x = 218,703,062.59
  5. Step 5: Solve for x
    x = 218,703,062.59/12,578.48
  6. Step 6: Final answer
    x = 17,387.08

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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.