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Finding the Fourth Proportional to 24,356.10, 33,611.38 and 13,178.10

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Solution

The fourth proportional to 24,356.10, 33,611.38 and 13,178.10 is: 18,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.10 : 33,611.38 = 13,178.10 : x
  2. Step 2: Convert to fraction form
    24,356.10/33,611.38 = 13,178.10/x
  3. Step 3: Cross multiply
    24,356.10x = 33,611.38 × 13,178.10
  4. Step 4: Simplify right side
    24,356.10x = 442,934,126.78
  5. Step 5: Solve for x
    x = 442,934,126.78/24,356.10
  6. Step 6: Final answer
    x = 18,185.76

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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.