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Finding the Fourth Proportional to 24,652.65, 33,987.50 and 16,140.06

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Solution

The fourth proportional to 24,652.65, 33,987.50 and 16,140.06 is: 22,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.65 : 33,987.50 = 16,140.06 : x
  2. Step 2: Convert to fraction form
    24,652.65/33,987.50 = 16,140.06/x
  3. Step 3: Cross multiply
    24,652.65x = 33,987.50 × 16,140.06
  4. Step 4: Simplify right side
    24,652.65x = 548,560,269.07
  5. Step 5: Solve for x
    x = 548,560,269.07/24,652.65
  6. Step 6: Final answer
    x = 22,251.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.