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Finding the Fourth Proportional to 24,278.70, 36,331.65 and 16,848.30

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Solution

The fourth proportional to 24,278.70, 36,331.65 and 16,848.30 is: 25,212.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.70 : 36,331.65 = 16,848.30 : x
  2. Step 2: Convert to fraction form
    24,278.70/36,331.65 = 16,848.30/x
  3. Step 3: Cross multiply
    24,278.70x = 36,331.65 × 16,848.30
  4. Step 4: Simplify right side
    24,278.70x = 612,126,538.70
  5. Step 5: Solve for x
    x = 612,126,538.70/24,278.70
  6. Step 6: Final answer
    x = 25,212.49

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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.