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Finding the Fourth Proportional to 13,442.72, 20,169.86 and 4,672.86

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Solution

The fourth proportional to 13,442.72, 20,169.86 and 4,672.86 is: 7,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.72 : 20,169.86 = 4,672.86 : x
  2. Step 2: Convert to fraction form
    13,442.72/20,169.86 = 4,672.86/x
  3. Step 3: Cross multiply
    13,442.72x = 20,169.86 × 4,672.86
  4. Step 4: Simplify right side
    13,442.72x = 94,250,932.00
  5. Step 5: Solve for x
    x = 94,250,932.00/13,442.72
  6. Step 6: Final answer
    x = 7,011.30

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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.