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Finding the Fourth Proportional to 13,331.60, 19,972.80 and 7,787.60

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Solution

The fourth proportional to 13,331.60, 19,972.80 and 7,787.60 is: 11,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331.60 : 19,972.80 = 7,787.60 : x
  2. Step 2: Convert to fraction form
    13,331.60/19,972.80 = 7,787.60/x
  3. Step 3: Cross multiply
    13,331.60x = 19,972.80 × 7,787.60
  4. Step 4: Simplify right side
    13,331.60x = 155,540,177.28
  5. Step 5: Solve for x
    x = 155,540,177.28/13,331.60
  6. Step 6: Final answer
    x = 11,667.03

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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.