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Finding the Fourth Proportional to 24,652.62, 36,985.14 and 7,122.33

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Solution

The fourth proportional to 24,652.62, 36,985.14 and 7,122.33 is: 10,685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.62 : 36,985.14 = 7,122.33 : x
  2. Step 2: Convert to fraction form
    24,652.62/36,985.14 = 7,122.33/x
  3. Step 3: Cross multiply
    24,652.62x = 36,985.14 × 7,122.33
  4. Step 4: Simplify right side
    24,652.62x = 263,420,372.18
  5. Step 5: Solve for x
    x = 263,420,372.18/24,652.62
  6. Step 6: Final answer
    x = 10,685.29

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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.