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Finding the Fourth Proportional to 17,398.63, 26,102 and 5,711.14

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Solution

The fourth proportional to 17,398.63, 26,102 and 5,711.14 is: 8,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,398.63 : 26,102 = 5,711.14 : x
  2. Step 2: Convert to fraction form
    17,398.63/26,102 = 5,711.14/x
  3. Step 3: Cross multiply
    17,398.63x = 26,102 × 5,711.14
  4. Step 4: Simplify right side
    17,398.63x = 149,072,176.28
  5. Step 5: Solve for x
    x = 149,072,176.28/17,398.63
  6. Step 6: Final answer
    x = 8,568.04

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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.