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Finding the Fourth Proportional to 17,026.38, 23,497.29 and 9,472.74

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Solution

The fourth proportional to 17,026.38, 23,497.29 and 9,472.74 is: 13,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026.38 : 23,497.29 = 9,472.74 : x
  2. Step 2: Convert to fraction form
    17,026.38/23,497.29 = 9,472.74/x
  3. Step 3: Cross multiply
    17,026.38x = 23,497.29 × 9,472.74
  4. Step 4: Simplify right side
    17,026.38x = 222,583,718.87
  5. Step 5: Solve for x
    x = 222,583,718.87/17,026.38
  6. Step 6: Final answer
    x = 13,072.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.