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Finding the Fourth Proportional to 17,685.42, 26,515.17 and 15,106.38

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Solution

The fourth proportional to 17,685.42, 26,515.17 and 15,106.38 is: 22,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.42 : 26,515.17 = 15,106.38 : x
  2. Step 2: Convert to fraction form
    17,685.42/26,515.17 = 15,106.38/x
  3. Step 3: Cross multiply
    17,685.42x = 26,515.17 × 15,106.38
  4. Step 4: Simplify right side
    17,685.42x = 400,548,233.78
  5. Step 5: Solve for x
    x = 400,548,233.78/17,685.42
  6. Step 6: Final answer
    x = 22,648.50

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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.