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Finding the Fourth Proportional to 24,234.68, 36,353.75 and 6,465.24

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Solution

The fourth proportional to 24,234.68, 36,353.75 and 6,465.24 is: 9,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.68 : 36,353.75 = 6,465.24 : x
  2. Step 2: Convert to fraction form
    24,234.68/36,353.75 = 6,465.24/x
  3. Step 3: Cross multiply
    24,234.68x = 36,353.75 × 6,465.24
  4. Step 4: Simplify right side
    24,234.68x = 235,035,718.65
  5. Step 5: Solve for x
    x = 235,035,718.65/24,234.68
  6. Step 6: Final answer
    x = 9,698.32

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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.