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Finding the Fourth Proportional to 24,356.56, 33,612 and 13,178.56

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Solution

The fourth proportional to 24,356.56, 33,612 and 13,178.56 is: 18,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.56 : 33,612 = 13,178.56 : x
  2. Step 2: Convert to fraction form
    24,356.56/33,612 = 13,178.56/x
  3. Step 3: Cross multiply
    24,356.56x = 33,612 × 13,178.56
  4. Step 4: Simplify right side
    24,356.56x = 442,957,758.72
  5. Step 5: Solve for x
    x = 442,957,758.72/24,356.56
  6. Step 6: Final answer
    x = 18,186.38

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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.