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Finding the Fourth Proportional to 24,534.78, 33,858.39 and 13,356.78

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Solution

The fourth proportional to 24,534.78, 33,858.39 and 13,356.78 is: 18,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.78 : 33,858.39 = 13,356.78 : x
  2. Step 2: Convert to fraction form
    24,534.78/33,858.39 = 13,356.78/x
  3. Step 3: Cross multiply
    24,534.78x = 33,858.39 × 13,356.78
  4. Step 4: Simplify right side
    24,534.78x = 452,239,066.38
  5. Step 5: Solve for x
    x = 452,239,066.38/24,534.78
  6. Step 6: Final answer
    x = 18,432.57

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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.