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Finding the Fourth Proportional to 11,769.18, 17,659.73 and 7,823.13

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Solution

The fourth proportional to 11,769.18, 17,659.73 and 7,823.13 is: 11,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.18 : 17,659.73 = 7,823.13 : x
  2. Step 2: Convert to fraction form
    11,769.18/17,659.73 = 7,823.13/x
  3. Step 3: Cross multiply
    11,769.18x = 17,659.73 × 7,823.13
  4. Step 4: Simplify right side
    11,769.18x = 138,154,363.55
  5. Step 5: Solve for x
    x = 138,154,363.55/11,769.18
  6. Step 6: Final answer
    x = 11,738.66

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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.