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Finding the Fourth Proportional to 13,374.42, 20,061.02 and 6,349.30

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Solution

The fourth proportional to 13,374.42, 20,061.02 and 6,349.30 is: 9,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.42 : 20,061.02 = 6,349.30 : x
  2. Step 2: Convert to fraction form
    13,374.42/20,061.02 = 6,349.30/x
  3. Step 3: Cross multiply
    13,374.42x = 20,061.02 × 6,349.30
  4. Step 4: Simplify right side
    13,374.42x = 127,373,434.29
  5. Step 5: Solve for x
    x = 127,373,434.29/13,374.42
  6. Step 6: Final answer
    x = 9,523.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.