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Finding the Fourth Proportional to 12,191.36, 18,278.40 and 7,505.60

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Solution

The fourth proportional to 12,191.36, 18,278.40 and 7,505.60 is: 11,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.36 : 18,278.40 = 7,505.60 : x
  2. Step 2: Convert to fraction form
    12,191.36/18,278.40 = 7,505.60/x
  3. Step 3: Cross multiply
    12,191.36x = 18,278.40 × 7,505.60
  4. Step 4: Simplify right side
    12,191.36x = 137,190,359.04
  5. Step 5: Solve for x
    x = 137,190,359.04/12,191.36
  6. Step 6: Final answer
    x = 11,253.08

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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.