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Finding the Fourth Proportional to 32,233.65, 48,363.23 and 12,517.84

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Solution

The fourth proportional to 32,233.65, 48,363.23 and 12,517.84 is: 18,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.65 : 48,363.23 = 12,517.84 : x
  2. Step 2: Convert to fraction form
    32,233.65/48,363.23 = 12,517.84/x
  3. Step 3: Cross multiply
    32,233.65x = 48,363.23 × 12,517.84
  4. Step 4: Simplify right side
    32,233.65x = 605,403,196.36
  5. Step 5: Solve for x
    x = 605,403,196.36/32,233.65
  6. Step 6: Final answer
    x = 18,781.72

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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.