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Finding the Fourth Proportional to 13,912.68, 19,189.02 and 9,663.75

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Solution

The fourth proportional to 13,912.68, 19,189.02 and 9,663.75 is: 13,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.68 : 19,189.02 = 9,663.75 : x
  2. Step 2: Convert to fraction form
    13,912.68/19,189.02 = 9,663.75/x
  3. Step 3: Cross multiply
    13,912.68x = 19,189.02 × 9,663.75
  4. Step 4: Simplify right side
    13,912.68x = 185,437,892.03
  5. Step 5: Solve for x
    x = 185,437,892.03/13,912.68
  6. Step 6: Final answer
    x = 13,328.70

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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.