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Finding the Fourth Proportional to 17,342.65, 23,932.86 and 9,384.88

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Solution

The fourth proportional to 17,342.65, 23,932.86 and 9,384.88 is: 12,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.65 : 23,932.86 = 9,384.88 : x
  2. Step 2: Convert to fraction form
    17,342.65/23,932.86 = 9,384.88/x
  3. Step 3: Cross multiply
    17,342.65x = 23,932.86 × 9,384.88
  4. Step 4: Simplify right side
    17,342.65x = 224,607,019.16
  5. Step 5: Solve for x
    x = 224,607,019.16/17,342.65
  6. Step 6: Final answer
    x = 12,951.14

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1.5x scale

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.