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Finding the Fourth Proportional to 16,294.65, 24,443.98 and 5,762.49

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Solution

The fourth proportional to 16,294.65, 24,443.98 and 5,762.49 is: 8,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.65 : 24,443.98 = 5,762.49 : x
  2. Step 2: Convert to fraction form
    16,294.65/24,443.98 = 5,762.49/x
  3. Step 3: Cross multiply
    16,294.65x = 24,443.98 × 5,762.49
  4. Step 4: Simplify right side
    16,294.65x = 140,858,221.74
  5. Step 5: Solve for x
    x = 140,858,221.74/16,294.65
  6. Step 6: Final answer
    x = 8,644.44

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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.