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Finding the Fourth Proportional to 12,909.13, 17,813.56 and 7,243.10

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Solution

The fourth proportional to 12,909.13, 17,813.56 and 7,243.10 is: 9,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.13 : 17,813.56 = 7,243.10 : x
  2. Step 2: Convert to fraction form
    12,909.13/17,813.56 = 7,243.10/x
  3. Step 3: Cross multiply
    12,909.13x = 17,813.56 × 7,243.10
  4. Step 4: Simplify right side
    12,909.13x = 129,025,396.44
  5. Step 5: Solve for x
    x = 129,025,396.44/12,909.13
  6. Step 6: Final answer
    x = 9,994.89

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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.