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Finding the Fourth Proportional to 17,905.41, 24,708.12 and 9,947.16

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Solution

The fourth proportional to 17,905.41, 24,708.12 and 9,947.16 is: 13,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.41 : 24,708.12 = 9,947.16 : x
  2. Step 2: Convert to fraction form
    17,905.41/24,708.12 = 9,947.16/x
  3. Step 3: Cross multiply
    17,905.41x = 24,708.12 × 9,947.16
  4. Step 4: Simplify right side
    17,905.41x = 245,775,622.94
  5. Step 5: Solve for x
    x = 245,775,622.94/17,905.41
  6. Step 6: Final answer
    x = 13,726.33

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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.