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Finding the Fourth Proportional to 10,343.20, 15,514.80 and 9,832.90

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Solution

The fourth proportional to 10,343.20, 15,514.80 and 9,832.90 is: 14,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.20 : 15,514.80 = 9,832.90 : x
  2. Step 2: Convert to fraction form
    10,343.20/15,514.80 = 9,832.90/x
  3. Step 3: Cross multiply
    10,343.20x = 15,514.80 × 9,832.90
  4. Step 4: Simplify right side
    10,343.20x = 152,555,476.92
  5. Step 5: Solve for x
    x = 152,555,476.92/10,343.20
  6. Step 6: Final answer
    x = 14,749.35

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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.