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Finding the Fourth Proportional to 24,347.40, 33,587.10 and 22,427.70

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Solution

The fourth proportional to 24,347.40, 33,587.10 and 22,427.70 is: 30,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,347.40 : 33,587.10 = 22,427.70 : x
  2. Step 2: Convert to fraction form
    24,347.40/33,587.10 = 22,427.70/x
  3. Step 3: Cross multiply
    24,347.40x = 33,587.10 × 22,427.70
  4. Step 4: Simplify right side
    24,347.40x = 753,281,402.67
  5. Step 5: Solve for x
    x = 753,281,402.67/24,347.40
  6. Step 6: Final answer
    x = 30,938.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.