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Finding the Fourth Proportional to 25,275.98, 37,930.44 and 9,693.56

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Solution

The fourth proportional to 25,275.98, 37,930.44 and 9,693.56 is: 14,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275.98 : 37,930.44 = 9,693.56 : x
  2. Step 2: Convert to fraction form
    25,275.98/37,930.44 = 9,693.56/x
  3. Step 3: Cross multiply
    25,275.98x = 37,930.44 × 9,693.56
  4. Step 4: Simplify right side
    25,275.98x = 367,680,995.97
  5. Step 5: Solve for x
    x = 367,680,995.97/25,275.98
  6. Step 6: Final answer
    x = 14,546.66

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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.