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Finding the Fourth Proportional to 24,126.36, 36,170.46 and 15,675

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Solution

The fourth proportional to 24,126.36, 36,170.46 and 15,675 is: 23,500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,126.36 : 36,170.46 = 15,675 : x
  2. Step 2: Convert to fraction form
    24,126.36/36,170.46 = 15,675/x
  3. Step 3: Cross multiply
    24,126.36x = 36,170.46 × 15,675
  4. Step 4: Simplify right side
    24,126.36x = 566,971,960.50
  5. Step 5: Solve for x
    x = 566,971,960.50/24,126.36
  6. Step 6: Final answer
    x = 23,500.10

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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.