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Finding the Fourth Proportional to 24,162.56, 36,243.36 and 13,752

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Solution

The fourth proportional to 24,162.56, 36,243.36 and 13,752 is: 20,627.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162.56 : 36,243.36 = 13,752 : x
  2. Step 2: Convert to fraction form
    24,162.56/36,243.36 = 13,752/x
  3. Step 3: Cross multiply
    24,162.56x = 36,243.36 × 13,752
  4. Step 4: Simplify right side
    24,162.56x = 498,418,686.72
  5. Step 5: Solve for x
    x = 498,418,686.72/24,162.56
  6. Step 6: Final answer
    x = 20,627.73

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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.