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Finding the Fourth Proportional to 24,530.40, 36,770.40 and 12,031.20

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Solution

The fourth proportional to 24,530.40, 36,770.40 and 12,031.20 is: 18,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.40 : 36,770.40 = 12,031.20 : x
  2. Step 2: Convert to fraction form
    24,530.40/36,770.40 = 12,031.20/x
  3. Step 3: Cross multiply
    24,530.40x = 36,770.40 × 12,031.20
  4. Step 4: Simplify right side
    24,530.40x = 442,392,036.48
  5. Step 5: Solve for x
    x = 442,392,036.48/24,530.40
  6. Step 6: Final answer
    x = 18,034.44

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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.