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Finding the Fourth Proportional to 16,180.58, 24,229.55 and 12,898.46

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Solution

The fourth proportional to 16,180.58, 24,229.55 and 12,898.46 is: 19,314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.58 : 24,229.55 = 12,898.46 : x
  2. Step 2: Convert to fraction form
    16,180.58/24,229.55 = 12,898.46/x
  3. Step 3: Cross multiply
    16,180.58x = 24,229.55 × 12,898.46
  4. Step 4: Simplify right side
    16,180.58x = 312,523,974.31
  5. Step 5: Solve for x
    x = 312,523,974.31/16,180.58
  6. Step 6: Final answer
    x = 19,314.75

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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.