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Finding the Fourth Proportional to 16,013.40, 24,034.86 and 8,121.45

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Solution

The fourth proportional to 16,013.40, 24,034.86 and 8,121.45 is: 12,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013.40 : 24,034.86 = 8,121.45 : x
  2. Step 2: Convert to fraction form
    16,013.40/24,034.86 = 8,121.45/x
  3. Step 3: Cross multiply
    16,013.40x = 24,034.86 × 8,121.45
  4. Step 4: Simplify right side
    16,013.40x = 195,197,868.68
  5. Step 5: Solve for x
    x = 195,197,868.68/16,013.40
  6. Step 6: Final answer
    x = 12,189.66

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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.