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Finding the Fourth Proportional to 17,344.68, 23,935.70 and 9,387

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Solution

The fourth proportional to 17,344.68, 23,935.70 and 9,387 is: 12,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.68 : 23,935.70 = 9,387 : x
  2. Step 2: Convert to fraction form
    17,344.68/23,935.70 = 9,387/x
  3. Step 3: Cross multiply
    17,344.68x = 23,935.70 × 9,387
  4. Step 4: Simplify right side
    17,344.68x = 224,684,415.90
  5. Step 5: Solve for x
    x = 224,684,415.90/17,344.68
  6. Step 6: Final answer
    x = 12,954.08

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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.