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Finding the Fourth Proportional to 24,627, 33,985.44 and 13,449

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Solution

The fourth proportional to 24,627, 33,985.44 and 13,449 is: 18,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627 : 33,985.44 = 13,449 : x
  2. Step 2: Convert to fraction form
    24,627/33,985.44 = 13,449/x
  3. Step 3: Cross multiply
    24,627x = 33,985.44 × 13,449
  4. Step 4: Simplify right side
    24,627x = 457,070,182.56
  5. Step 5: Solve for x
    x = 457,070,182.56/24,627
  6. Step 6: Final answer
    x = 18,559.72

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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.