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Finding the Fourth Proportional to 24,150.32, 33,326.04 and 13,538

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Solution

The fourth proportional to 24,150.32, 33,326.04 and 13,538 is: 18,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150.32 : 33,326.04 = 13,538 : x
  2. Step 2: Convert to fraction form
    24,150.32/33,326.04 = 13,538/x
  3. Step 3: Cross multiply
    24,150.32x = 33,326.04 × 13,538
  4. Step 4: Simplify right side
    24,150.32x = 451,167,929.52
  5. Step 5: Solve for x
    x = 451,167,929.52/24,150.32
  6. Step 6: Final answer
    x = 18,681.65

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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.