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Finding the Fourth Proportional to 13,191.32, 19,755.56 and 7,632.95

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Solution

The fourth proportional to 13,191.32, 19,755.56 and 7,632.95 is: 11,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.32 : 19,755.56 = 7,632.95 : x
  2. Step 2: Convert to fraction form
    13,191.32/19,755.56 = 7,632.95/x
  3. Step 3: Cross multiply
    13,191.32x = 19,755.56 × 7,632.95
  4. Step 4: Simplify right side
    13,191.32x = 150,793,122.01
  5. Step 5: Solve for x
    x = 150,793,122.01/13,191.32
  6. Step 6: Final answer
    x = 11,431.24

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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.