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Finding the Fourth Proportional to 17,139.14, 25,706.06 and 6,614.11

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Solution

The fourth proportional to 17,139.14, 25,706.06 and 6,614.11 is: 9,920.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,139.14 : 25,706.06 = 6,614.11 : x
  2. Step 2: Convert to fraction form
    17,139.14/25,706.06 = 6,614.11/x
  3. Step 3: Cross multiply
    17,139.14x = 25,706.06 × 6,614.11
  4. Step 4: Simplify right side
    17,139.14x = 170,022,587.77
  5. Step 5: Solve for x
    x = 170,022,587.77/17,139.14
  6. Step 6: Final answer
    x = 9,920.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.