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Finding the Fourth Proportional to 12,945.36, 17,863.56 and 7,909.20

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Solution

The fourth proportional to 12,945.36, 17,863.56 and 7,909.20 is: 10,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.36 : 17,863.56 = 7,909.20 : x
  2. Step 2: Convert to fraction form
    12,945.36/17,863.56 = 7,909.20/x
  3. Step 3: Cross multiply
    12,945.36x = 17,863.56 × 7,909.20
  4. Step 4: Simplify right side
    12,945.36x = 141,286,468.75
  5. Step 5: Solve for x
    x = 141,286,468.75/12,945.36
  6. Step 6: Final answer
    x = 10,914.06

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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.