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Finding the Fourth Proportional to 15,770.92, 23,667.72 and 9,199.12

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Solution

The fourth proportional to 15,770.92, 23,667.72 and 9,199.12 is: 13,805.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.92 : 23,667.72 = 9,199.12 : x
  2. Step 2: Convert to fraction form
    15,770.92/23,667.72 = 9,199.12/x
  3. Step 3: Cross multiply
    15,770.92x = 23,667.72 × 9,199.12
  4. Step 4: Simplify right side
    15,770.92x = 217,722,196.41
  5. Step 5: Solve for x
    x = 217,722,196.41/15,770.92
  6. Step 6: Final answer
    x = 13,805.29

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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.