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Finding the Fourth Proportional to 15,711.08, 21,680 and 9,249.69

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Solution

The fourth proportional to 15,711.08, 21,680 and 9,249.69 is: 12,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.08 : 21,680 = 9,249.69 : x
  2. Step 2: Convert to fraction form
    15,711.08/21,680 = 9,249.69/x
  3. Step 3: Cross multiply
    15,711.08x = 21,680 × 9,249.69
  4. Step 4: Simplify right side
    15,711.08x = 200,533,279.20
  5. Step 5: Solve for x
    x = 200,533,279.20/15,711.08
  6. Step 6: Final answer
    x = 12,763.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.