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Finding the Fourth Proportional to 24,641.56, 33,993.50 and 16,140

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Solution

The fourth proportional to 24,641.56, 33,993.50 and 16,140 is: 22,265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.56 : 33,993.50 = 16,140 : x
  2. Step 2: Convert to fraction form
    24,641.56/33,993.50 = 16,140/x
  3. Step 3: Cross multiply
    24,641.56x = 33,993.50 × 16,140
  4. Step 4: Simplify right side
    24,641.56x = 548,655,009.30
  5. Step 5: Solve for x
    x = 548,655,009.30/24,641.56
  6. Step 6: Final answer
    x = 22,265.44

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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.