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Finding the Fourth Proportional to 17,347.14, 23,938.92 and 9,389.46

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Solution

The fourth proportional to 17,347.14, 23,938.92 and 9,389.46 is: 12,957.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,347.14 : 23,938.92 = 9,389.46 : x
  2. Step 2: Convert to fraction form
    17,347.14/23,938.92 = 9,389.46/x
  3. Step 3: Cross multiply
    17,347.14x = 23,938.92 × 9,389.46
  4. Step 4: Simplify right side
    17,347.14x = 224,773,531.78
  5. Step 5: Solve for x
    x = 224,773,531.78/17,347.14
  6. Step 6: Final answer
    x = 12,957.38

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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.