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Finding the Fourth Proportional to 24,431.88, 33,710.88 and 13,824.12

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Solution

The fourth proportional to 24,431.88, 33,710.88 and 13,824.12 is: 19,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431.88 : 33,710.88 = 13,824.12 : x
  2. Step 2: Convert to fraction form
    24,431.88/33,710.88 = 13,824.12/x
  3. Step 3: Cross multiply
    24,431.88x = 33,710.88 × 13,824.12
  4. Step 4: Simplify right side
    24,431.88x = 466,023,250.43
  5. Step 5: Solve for x
    x = 466,023,250.43/24,431.88
  6. Step 6: Final answer
    x = 19,074.39

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1.5x scale

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.