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Finding the Fourth Proportional to 24,107.39, 33,267.93 and 13,497.14

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Solution

The fourth proportional to 24,107.39, 33,267.93 and 13,497.14 is: 18,625.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.39 : 33,267.93 = 13,497.14 : x
  2. Step 2: Convert to fraction form
    24,107.39/33,267.93 = 13,497.14/x
  3. Step 3: Cross multiply
    24,107.39x = 33,267.93 × 13,497.14
  4. Step 4: Simplify right side
    24,107.39x = 449,021,742.38
  5. Step 5: Solve for x
    x = 449,021,742.38/24,107.39
  6. Step 6: Final answer
    x = 18,625.90

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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.