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Finding the Fourth Proportional to 16,302.52, 24,453.78 and 4,615.80

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Solution

The fourth proportional to 16,302.52, 24,453.78 and 4,615.80 is: 6,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.52 : 24,453.78 = 4,615.80 : x
  2. Step 2: Convert to fraction form
    16,302.52/24,453.78 = 4,615.80/x
  3. Step 3: Cross multiply
    16,302.52x = 24,453.78 × 4,615.80
  4. Step 4: Simplify right side
    16,302.52x = 112,873,757.72
  5. Step 5: Solve for x
    x = 112,873,757.72/16,302.52
  6. Step 6: Final answer
    x = 6,923.70

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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.