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Finding the Fourth Proportional to 24,275.72, 36,414.06 and 7,635.40

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Solution

The fourth proportional to 24,275.72, 36,414.06 and 7,635.40 is: 11,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.72 : 36,414.06 = 7,635.40 : x
  2. Step 2: Convert to fraction form
    24,275.72/36,414.06 = 7,635.40/x
  3. Step 3: Cross multiply
    24,275.72x = 36,414.06 × 7,635.40
  4. Step 4: Simplify right side
    24,275.72x = 278,035,913.72
  5. Step 5: Solve for x
    x = 278,035,913.72/24,275.72
  6. Step 6: Final answer
    x = 11,453.25

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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.