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Finding the Fourth Proportional to 17,794, 24,557.88 and 10,342

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Solution

The fourth proportional to 17,794, 24,557.88 and 10,342 is: 14,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794 : 24,557.88 = 10,342 : x
  2. Step 2: Convert to fraction form
    17,794/24,557.88 = 10,342/x
  3. Step 3: Cross multiply
    17,794x = 24,557.88 × 10,342
  4. Step 4: Simplify right side
    17,794x = 253,977,594.96
  5. Step 5: Solve for x
    x = 253,977,594.96/17,794
  6. Step 6: Final answer
    x = 14,273.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.