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Finding the Fourth Proportional to 24,110.40, 36,165.60 and 15,843

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Solution

The fourth proportional to 24,110.40, 36,165.60 and 15,843 is: 23,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,110.40 : 36,165.60 = 15,843 : x
  2. Step 2: Convert to fraction form
    24,110.40/36,165.60 = 15,843/x
  3. Step 3: Cross multiply
    24,110.40x = 36,165.60 × 15,843
  4. Step 4: Simplify right side
    24,110.40x = 572,971,600.80
  5. Step 5: Solve for x
    x = 572,971,600.80/24,110.40
  6. Step 6: Final answer
    x = 23,764.50

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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.