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Finding the Fourth Proportional to 18,827.64, 25,982.10 and 10,869.66

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Solution

The fourth proportional to 18,827.64, 25,982.10 and 10,869.66 is: 15,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,827.64 : 25,982.10 = 10,869.66 : x
  2. Step 2: Convert to fraction form
    18,827.64/25,982.10 = 10,869.66/x
  3. Step 3: Cross multiply
    18,827.64x = 25,982.10 × 10,869.66
  4. Step 4: Simplify right side
    18,827.64x = 282,416,593.09
  5. Step 5: Solve for x
    x = 282,416,593.09/18,827.64
  6. Step 6: Final answer
    x = 15,000.11

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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.