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Finding the Fourth Proportional to 12,909.12, 17,812.88 and 7,243.66

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Solution

The fourth proportional to 12,909.12, 17,812.88 and 7,243.66 is: 9,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.12 : 17,812.88 = 7,243.66 : x
  2. Step 2: Convert to fraction form
    12,909.12/17,812.88 = 7,243.66/x
  3. Step 3: Cross multiply
    12,909.12x = 17,812.88 × 7,243.66
  4. Step 4: Simplify right side
    12,909.12x = 129,030,446.34
  5. Step 5: Solve for x
    x = 129,030,446.34/12,909.12
  6. Step 6: Final answer
    x = 9,995.29

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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.