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Finding the Fourth Proportional to 13,770.54, 20,660.49 and 5,006.16

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Solution

The fourth proportional to 13,770.54, 20,660.49 and 5,006.16 is: 7,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.54 : 20,660.49 = 5,006.16 : x
  2. Step 2: Convert to fraction form
    13,770.54/20,660.49 = 5,006.16/x
  3. Step 3: Cross multiply
    13,770.54x = 20,660.49 × 5,006.16
  4. Step 4: Simplify right side
    13,770.54x = 103,429,718.62
  5. Step 5: Solve for x
    x = 103,429,718.62/13,770.54
  6. Step 6: Final answer
    x = 7,510.94

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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.