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Finding the Fourth Proportional to 16,204.50, 24,306.75 and 5,260.50

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Solution

The fourth proportional to 16,204.50, 24,306.75 and 5,260.50 is: 7,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.50 : 24,306.75 = 5,260.50 : x
  2. Step 2: Convert to fraction form
    16,204.50/24,306.75 = 5,260.50/x
  3. Step 3: Cross multiply
    16,204.50x = 24,306.75 × 5,260.50
  4. Step 4: Simplify right side
    16,204.50x = 127,865,658.38
  5. Step 5: Solve for x
    x = 127,865,658.38/16,204.50
  6. Step 6: Final answer
    x = 7,890.75

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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.