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Finding the Fourth Proportional to 24,354, 33,608.52 and 13,176

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Solution

The fourth proportional to 24,354, 33,608.52 and 13,176 is: 18,182.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,354 : 33,608.52 = 13,176 : x
  2. Step 2: Convert to fraction form
    24,354/33,608.52 = 13,176/x
  3. Step 3: Cross multiply
    24,354x = 33,608.52 × 13,176
  4. Step 4: Simplify right side
    24,354x = 442,825,859.52
  5. Step 5: Solve for x
    x = 442,825,859.52/24,354
  6. Step 6: Final answer
    x = 18,182.88

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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.