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Finding the Fourth Proportional to 17,905.14, 24,710.13 and 9,947.88

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Solution

The fourth proportional to 17,905.14, 24,710.13 and 9,947.88 is: 13,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.14 : 24,710.13 = 9,947.88 : x
  2. Step 2: Convert to fraction form
    17,905.14/24,710.13 = 9,947.88/x
  3. Step 3: Cross multiply
    17,905.14x = 24,710.13 × 9,947.88
  4. Step 4: Simplify right side
    17,905.14x = 245,813,408.02
  5. Step 5: Solve for x
    x = 245,813,408.02/17,905.14
  6. Step 6: Final answer
    x = 13,728.65

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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.