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Finding the Fourth Proportional to 11,928.60, 17,889.66 and 9,966.78

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Solution

The fourth proportional to 11,928.60, 17,889.66 and 9,966.78 is: 14,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.60 : 17,889.66 = 9,966.78 : x
  2. Step 2: Convert to fraction form
    11,928.60/17,889.66 = 9,966.78/x
  3. Step 3: Cross multiply
    11,928.60x = 17,889.66 × 9,966.78
  4. Step 4: Simplify right side
    11,928.60x = 178,302,305.49
  5. Step 5: Solve for x
    x = 178,302,305.49/11,928.60
  6. Step 6: Final answer
    x = 14,947.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.