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Finding the Fourth Proportional to 24,275.72, 36,428.16 and 10,234.88

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Solution

The fourth proportional to 24,275.72, 36,428.16 and 10,234.88 is: 15,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.72 : 36,428.16 = 10,234.88 : x
  2. Step 2: Convert to fraction form
    24,275.72/36,428.16 = 10,234.88/x
  3. Step 3: Cross multiply
    24,275.72x = 36,428.16 × 10,234.88
  4. Step 4: Simplify right side
    24,275.72x = 372,837,846.22
  5. Step 5: Solve for x
    x = 372,837,846.22/24,275.72
  6. Step 6: Final answer
    x = 15,358.47

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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.