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Finding the Fourth Proportional to 15,785.52, 23,677.52 and 5,924.03

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Solution

The fourth proportional to 15,785.52, 23,677.52 and 5,924.03 is: 8,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.52 : 23,677.52 = 5,924.03 : x
  2. Step 2: Convert to fraction form
    15,785.52/23,677.52 = 5,924.03/x
  3. Step 3: Cross multiply
    15,785.52x = 23,677.52 × 5,924.03
  4. Step 4: Simplify right side
    15,785.52x = 140,266,190.80
  5. Step 5: Solve for x
    x = 140,266,190.80/15,785.52
  6. Step 6: Final answer
    x = 8,885.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.