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Finding the Fourth Proportional to 24,563.18, 36,833.96 and 7,029.02

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Solution

The fourth proportional to 24,563.18, 36,833.96 and 7,029.02 is: 10,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.18 : 36,833.96 = 7,029.02 : x
  2. Step 2: Convert to fraction form
    24,563.18/36,833.96 = 7,029.02/x
  3. Step 3: Cross multiply
    24,563.18x = 36,833.96 × 7,029.02
  4. Step 4: Simplify right side
    24,563.18x = 258,906,641.52
  5. Step 5: Solve for x
    x = 258,906,641.52/24,563.18
  6. Step 6: Final answer
    x = 10,540.44

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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.