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Finding the Fourth Proportional to 16,222.98, 24,351.48 and 10,306.74

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Solution

The fourth proportional to 16,222.98, 24,351.48 and 10,306.74 is: 15,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.98 : 24,351.48 = 10,306.74 : x
  2. Step 2: Convert to fraction form
    16,222.98/24,351.48 = 10,306.74/x
  3. Step 3: Cross multiply
    16,222.98x = 24,351.48 × 10,306.74
  4. Step 4: Simplify right side
    16,222.98x = 250,984,372.98
  5. Step 5: Solve for x
    x = 250,984,372.98/16,222.98
  6. Step 6: Final answer
    x = 15,470.92

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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.