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Finding the Fourth Proportional to 17,825.66, 26,737.92 and 8,472.42

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Solution

The fourth proportional to 17,825.66, 26,737.92 and 8,472.42 is: 12,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.66 : 26,737.92 = 8,472.42 : x
  2. Step 2: Convert to fraction form
    17,825.66/26,737.92 = 8,472.42/x
  3. Step 3: Cross multiply
    17,825.66x = 26,737.92 × 8,472.42
  4. Step 4: Simplify right side
    17,825.66x = 226,534,888.17
  5. Step 5: Solve for x
    x = 226,534,888.17/17,825.66
  6. Step 6: Final answer
    x = 12,708.36

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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.