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Finding the Fourth Proportional to 24,641.12, 33,990.36 and 15,203

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Solution

The fourth proportional to 24,641.12, 33,990.36 and 15,203 is: 20,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,641.12 : 33,990.36 = 15,203 : x
  2. Step 2: Convert to fraction form
    24,641.12/33,990.36 = 15,203/x
  3. Step 3: Cross multiply
    24,641.12x = 33,990.36 × 15,203
  4. Step 4: Simplify right side
    24,641.12x = 516,755,443.08
  5. Step 5: Solve for x
    x = 516,755,443.08/24,641.12
  6. Step 6: Final answer
    x = 20,971.26

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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.