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Finding the Fourth Proportional to 24,493.12, 33,800.64 and 14,422

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Solution

The fourth proportional to 24,493.12, 33,800.64 and 14,422 is: 19,902.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493.12 : 33,800.64 = 14,422 : x
  2. Step 2: Convert to fraction form
    24,493.12/33,800.64 = 14,422/x
  3. Step 3: Cross multiply
    24,493.12x = 33,800.64 × 14,422
  4. Step 4: Simplify right side
    24,493.12x = 487,472,830.08
  5. Step 5: Solve for x
    x = 487,472,830.08/24,493.12
  6. Step 6: Final answer
    x = 19,902.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.