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Finding the Fourth Proportional to 24,031.23, 36,069 and 12,193.30

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Solution

The fourth proportional to 24,031.23, 36,069 and 12,193.30 is: 18,301.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.23 : 36,069 = 12,193.30 : x
  2. Step 2: Convert to fraction form
    24,031.23/36,069 = 12,193.30/x
  3. Step 3: Cross multiply
    24,031.23x = 36,069 × 12,193.30
  4. Step 4: Simplify right side
    24,031.23x = 439,800,137.70
  5. Step 5: Solve for x
    x = 439,800,137.70/24,031.23
  6. Step 6: Final answer
    x = 18,301.19

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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.