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Finding the Fourth Proportional to 23,222.48, 32,049 and 13,152.68

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Solution

The fourth proportional to 23,222.48, 32,049 and 13,152.68 is: 18,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,222.48 : 32,049 = 13,152.68 : x
  2. Step 2: Convert to fraction form
    23,222.48/32,049 = 13,152.68/x
  3. Step 3: Cross multiply
    23,222.48x = 32,049 × 13,152.68
  4. Step 4: Simplify right side
    23,222.48x = 421,530,241.32
  5. Step 5: Solve for x
    x = 421,530,241.32/23,222.48
  6. Step 6: Final answer
    x = 18,151.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.