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Finding the Fourth Proportional to 11,887.20, 17,871.30 and 9,711.72

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Solution

The fourth proportional to 11,887.20, 17,871.30 and 9,711.72 is: 14,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.20 : 17,871.30 = 9,711.72 : x
  2. Step 2: Convert to fraction form
    11,887.20/17,871.30 = 9,711.72/x
  3. Step 3: Cross multiply
    11,887.20x = 17,871.30 × 9,711.72
  4. Step 4: Simplify right side
    11,887.20x = 173,561,061.64
  5. Step 5: Solve for x
    x = 173,561,061.64/11,887.20
  6. Step 6: Final answer
    x = 14,600.67

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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.