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Finding the Fourth Proportional to 17,154.30, 25,712.68 and 8,834.82

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Solution

The fourth proportional to 17,154.30, 25,712.68 and 8,834.82 is: 13,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,154.30 : 25,712.68 = 8,834.82 : x
  2. Step 2: Convert to fraction form
    17,154.30/25,712.68 = 8,834.82/x
  3. Step 3: Cross multiply
    17,154.30x = 25,712.68 × 8,834.82
  4. Step 4: Simplify right side
    17,154.30x = 227,166,899.52
  5. Step 5: Solve for x
    x = 227,166,899.52/17,154.30
  6. Step 6: Final answer
    x = 13,242.56

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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.