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Finding the Fourth Proportional to 24,324.10, 36,485.17 and 7,685.08

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Solution

The fourth proportional to 24,324.10, 36,485.17 and 7,685.08 is: 11,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,324.10 : 36,485.17 = 7,685.08 : x
  2. Step 2: Convert to fraction form
    24,324.10/36,485.17 = 7,685.08/x
  3. Step 3: Cross multiply
    24,324.10x = 36,485.17 × 7,685.08
  4. Step 4: Simplify right side
    24,324.10x = 280,391,339.84
  5. Step 5: Solve for x
    x = 280,391,339.84/24,324.10
  6. Step 6: Final answer
    x = 11,527.31

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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.