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Finding the Fourth Proportional to 25,570.66, 38,358.17 and 7,805.31

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Solution

The fourth proportional to 25,570.66, 38,358.17 and 7,805.31 is: 11,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.66 : 38,358.17 = 7,805.31 : x
  2. Step 2: Convert to fraction form
    25,570.66/38,358.17 = 7,805.31/x
  3. Step 3: Cross multiply
    25,570.66x = 38,358.17 × 7,805.31
  4. Step 4: Simplify right side
    25,570.66x = 299,397,513.95
  5. Step 5: Solve for x
    x = 299,397,513.95/25,570.66
  6. Step 6: Final answer
    x = 11,708.63

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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.