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Finding the Fourth Proportional to 12,569.85, 18,855.72 and 3,805.47

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Solution

The fourth proportional to 12,569.85, 18,855.72 and 3,805.47 is: 5,708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.85 : 18,855.72 = 3,805.47 : x
  2. Step 2: Convert to fraction form
    12,569.85/18,855.72 = 3,805.47/x
  3. Step 3: Cross multiply
    12,569.85x = 18,855.72 × 3,805.47
  4. Step 4: Simplify right side
    12,569.85x = 71,754,876.79
  5. Step 5: Solve for x
    x = 71,754,876.79/12,569.85
  6. Step 6: Final answer
    x = 5,708.49

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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.