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Finding the Fourth Proportional to 12,514.57, 18,772.48 and 3,748.65

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Solution

The fourth proportional to 12,514.57, 18,772.48 and 3,748.65 is: 5,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.57 : 18,772.48 = 3,748.65 : x
  2. Step 2: Convert to fraction form
    12,514.57/18,772.48 = 3,748.65/x
  3. Step 3: Cross multiply
    12,514.57x = 18,772.48 × 3,748.65
  4. Step 4: Simplify right side
    12,514.57x = 70,371,429.00
  5. Step 5: Solve for x
    x = 70,371,429.00/12,514.57
  6. Step 6: Final answer
    x = 5,623.16

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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.