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Finding the Fourth Proportional to 24,076.50, 33,230.16 and 16,132.58

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Solution

The fourth proportional to 24,076.50, 33,230.16 and 16,132.58 is: 22,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.50 : 33,230.16 = 16,132.58 : x
  2. Step 2: Convert to fraction form
    24,076.50/33,230.16 = 16,132.58/x
  3. Step 3: Cross multiply
    24,076.50x = 33,230.16 × 16,132.58
  4. Step 4: Simplify right side
    24,076.50x = 536,088,214.61
  5. Step 5: Solve for x
    x = 536,088,214.61/24,076.50
  6. Step 6: Final answer
    x = 22,266.04

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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.