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Finding the Fourth Proportional to 12,706.76, 17,535.84 and 7,400.72

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Solution

The fourth proportional to 12,706.76, 17,535.84 and 7,400.72 is: 10,213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.76 : 17,535.84 = 7,400.72 : x
  2. Step 2: Convert to fraction form
    12,706.76/17,535.84 = 7,400.72/x
  3. Step 3: Cross multiply
    12,706.76x = 17,535.84 × 7,400.72
  4. Step 4: Simplify right side
    12,706.76x = 129,777,841.80
  5. Step 5: Solve for x
    x = 129,777,841.80/12,706.76
  6. Step 6: Final answer
    x = 10,213.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.