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Finding the Fourth Proportional to 24,846.32, 37,275.69 and 8,207.30

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Solution

The fourth proportional to 24,846.32, 37,275.69 and 8,207.30 is: 12,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,846.32 : 37,275.69 = 8,207.30 : x
  2. Step 2: Convert to fraction form
    24,846.32/37,275.69 = 8,207.30/x
  3. Step 3: Cross multiply
    24,846.32x = 37,275.69 × 8,207.30
  4. Step 4: Simplify right side
    24,846.32x = 305,932,770.54
  5. Step 5: Solve for x
    x = 305,932,770.54/24,846.32
  6. Step 6: Final answer
    x = 12,313.00

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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.