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Finding the Fourth Proportional to 17,342.64, 23,935.50 and 9,792

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Solution

The fourth proportional to 17,342.64, 23,935.50 and 9,792 is: 13,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.64 : 23,935.50 = 9,792 : x
  2. Step 2: Convert to fraction form
    17,342.64/23,935.50 = 9,792/x
  3. Step 3: Cross multiply
    17,342.64x = 23,935.50 × 9,792
  4. Step 4: Simplify right side
    17,342.64x = 234,376,416
  5. Step 5: Solve for x
    x = 234,376,416/17,342.64
  6. Step 6: Final answer
    x = 13,514.46

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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.