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Finding the Fourth Proportional to 24,538.38, 33,854.34 and 16,045.47

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Solution

The fourth proportional to 24,538.38, 33,854.34 and 16,045.47 is: 22,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.38 : 33,854.34 = 16,045.47 : x
  2. Step 2: Convert to fraction form
    24,538.38/33,854.34 = 16,045.47/x
  3. Step 3: Cross multiply
    24,538.38x = 33,854.34 × 16,045.47
  4. Step 4: Simplify right side
    24,538.38x = 543,208,799.04
  5. Step 5: Solve for x
    x = 543,208,799.04/24,538.38
  6. Step 6: Final answer
    x = 22,137.11

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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.