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Finding the Fourth Proportional to 24,492.38, 33,799.75 and 13,314.38

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Solution

The fourth proportional to 24,492.38, 33,799.75 and 13,314.38 is: 18,373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.38 : 33,799.75 = 13,314.38 : x
  2. Step 2: Convert to fraction form
    24,492.38/33,799.75 = 13,314.38/x
  3. Step 3: Cross multiply
    24,492.38x = 33,799.75 × 13,314.38
  4. Step 4: Simplify right side
    24,492.38x = 450,022,513.12
  5. Step 5: Solve for x
    x = 450,022,513.12/24,492.38
  6. Step 6: Final answer
    x = 18,373.98

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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.