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Finding the Fourth Proportional to 13,191.69, 18,199.04 and 9,648.75

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Solution

The fourth proportional to 13,191.69, 18,199.04 and 9,648.75 is: 13,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.69 : 18,199.04 = 9,648.75 : x
  2. Step 2: Convert to fraction form
    13,191.69/18,199.04 = 9,648.75/x
  3. Step 3: Cross multiply
    13,191.69x = 18,199.04 × 9,648.75
  4. Step 4: Simplify right side
    13,191.69x = 175,597,987.20
  5. Step 5: Solve for x
    x = 175,597,987.20/13,191.69
  6. Step 6: Final answer
    x = 13,311.26

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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.