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Finding the Fourth Proportional to 25,344.64, 38,022.40 and 7,576.69

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Solution

The fourth proportional to 25,344.64, 38,022.40 and 7,576.69 is: 11,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.64 : 38,022.40 = 7,576.69 : x
  2. Step 2: Convert to fraction form
    25,344.64/38,022.40 = 7,576.69/x
  3. Step 3: Cross multiply
    25,344.64x = 38,022.40 × 7,576.69
  4. Step 4: Simplify right side
    25,344.64x = 288,083,899.97
  5. Step 5: Solve for x
    x = 288,083,899.97/25,344.64
  6. Step 6: Final answer
    x = 11,366.66

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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.