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Finding the Fourth Proportional to 13,711.32, 20,572.65 and 7,475.67

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Solution

The fourth proportional to 13,711.32, 20,572.65 and 7,475.67 is: 11,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.32 : 20,572.65 = 7,475.67 : x
  2. Step 2: Convert to fraction form
    13,711.32/20,572.65 = 7,475.67/x
  3. Step 3: Cross multiply
    13,711.32x = 20,572.65 × 7,475.67
  4. Step 4: Simplify right side
    13,711.32x = 153,794,342.43
  5. Step 5: Solve for x
    x = 153,794,342.43/13,711.32
  6. Step 6: Final answer
    x = 11,216.60

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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.