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Finding the Fourth Proportional to 24,641.93, 33,994.01 and 16,140.38

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Solution

The fourth proportional to 24,641.93, 33,994.01 and 16,140.38 is: 22,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.93 : 33,994.01 = 16,140.38 : x
  2. Step 2: Convert to fraction form
    24,641.93/33,994.01 = 16,140.38/x
  3. Step 3: Cross multiply
    24,641.93x = 33,994.01 × 16,140.38
  4. Step 4: Simplify right side
    24,641.93x = 548,676,109.50
  5. Step 5: Solve for x
    x = 548,676,109.50/24,641.93
  6. Step 6: Final answer
    x = 22,265.95

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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.