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Finding the Fourth Proportional to 24,429, 33,712.20 and 13,251

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Solution

The fourth proportional to 24,429, 33,712.20 and 13,251 is: 18,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429 : 33,712.20 = 13,251 : x
  2. Step 2: Convert to fraction form
    24,429/33,712.20 = 13,251/x
  3. Step 3: Cross multiply
    24,429x = 33,712.20 × 13,251
  4. Step 4: Simplify right side
    24,429x = 446,720,362.20
  5. Step 5: Solve for x
    x = 446,720,362.20/24,429
  6. Step 6: Final answer
    x = 18,286.48

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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.