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Finding the Fourth Proportional to 15,901.97, 21,945.48 and 9,188.49

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Solution

The fourth proportional to 15,901.97, 21,945.48 and 9,188.49 is: 12,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.97 : 21,945.48 = 9,188.49 : x
  2. Step 2: Convert to fraction form
    15,901.97/21,945.48 = 9,188.49/x
  3. Step 3: Cross multiply
    15,901.97x = 21,945.48 × 9,188.49
  4. Step 4: Simplify right side
    15,901.97x = 201,645,823.53
  5. Step 5: Solve for x
    x = 201,645,823.53/15,901.97
  6. Step 6: Final answer
    x = 12,680.56

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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.