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Finding the Fourth Proportional to 13,354.32, 20,034.30 and 5,034.16

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Solution

The fourth proportional to 13,354.32, 20,034.30 and 5,034.16 is: 7,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354.32 : 20,034.30 = 5,034.16 : x
  2. Step 2: Convert to fraction form
    13,354.32/20,034.30 = 5,034.16/x
  3. Step 3: Cross multiply
    13,354.32x = 20,034.30 × 5,034.16
  4. Step 4: Simplify right side
    13,354.32x = 100,855,871.69
  5. Step 5: Solve for x
    x = 100,855,871.69/13,354.32
  6. Step 6: Final answer
    x = 7,552.30

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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.