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Finding the Fourth Proportional to 13,871.89, 20,807.61 and 6,472.18

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Solution

The fourth proportional to 13,871.89, 20,807.61 and 6,472.18 is: 9,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.89 : 20,807.61 = 6,472.18 : x
  2. Step 2: Convert to fraction form
    13,871.89/20,807.61 = 6,472.18/x
  3. Step 3: Cross multiply
    13,871.89x = 20,807.61 × 6,472.18
  4. Step 4: Simplify right side
    13,871.89x = 134,670,597.29
  5. Step 5: Solve for x
    x = 134,670,597.29/13,871.89
  6. Step 6: Final answer
    x = 9,708.17

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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.