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Finding the Fourth Proportional to 17,342, 23,931.98 and 9,384.20

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Solution

The fourth proportional to 17,342, 23,931.98 and 9,384.20 is: 12,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342 : 23,931.98 = 9,384.20 : x
  2. Step 2: Convert to fraction form
    17,342/23,931.98 = 9,384.20/x
  3. Step 3: Cross multiply
    17,342x = 23,931.98 × 9,384.20
  4. Step 4: Simplify right side
    17,342x = 224,582,486.72
  5. Step 5: Solve for x
    x = 224,582,486.72/17,342
  6. Step 6: Final answer
    x = 12,950.21

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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.