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Finding the Fourth Proportional to 25,264.66, 37,896.71 and 9,682.28

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Solution

The fourth proportional to 25,264.66, 37,896.71 and 9,682.28 is: 14,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.66 : 37,896.71 = 9,682.28 : x
  2. Step 2: Convert to fraction form
    25,264.66/37,896.71 = 9,682.28/x
  3. Step 3: Cross multiply
    25,264.66x = 37,896.71 × 9,682.28
  4. Step 4: Simplify right side
    25,264.66x = 366,926,729.15
  5. Step 5: Solve for x
    x = 366,926,729.15/25,264.66
  6. Step 6: Final answer
    x = 14,523.32

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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.