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Finding the Fourth Proportional to 17,505.08, 26,227.92 and 10,565

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Solution

The fourth proportional to 17,505.08, 26,227.92 and 10,565 is: 15,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.08 : 26,227.92 = 10,565 : x
  2. Step 2: Convert to fraction form
    17,505.08/26,227.92 = 10,565/x
  3. Step 3: Cross multiply
    17,505.08x = 26,227.92 × 10,565
  4. Step 4: Simplify right side
    17,505.08x = 277,097,974.80
  5. Step 5: Solve for x
    x = 277,097,974.80/17,505.08
  6. Step 6: Final answer
    x = 15,829.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.