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Finding the Fourth Proportional to 18,196.76, 27,309.85 and 9,434.18

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Solution

The fourth proportional to 18,196.76, 27,309.85 and 9,434.18 is: 14,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196.76 : 27,309.85 = 9,434.18 : x
  2. Step 2: Convert to fraction form
    18,196.76/27,309.85 = 9,434.18/x
  3. Step 3: Cross multiply
    18,196.76x = 27,309.85 × 9,434.18
  4. Step 4: Simplify right side
    18,196.76x = 257,646,040.67
  5. Step 5: Solve for x
    x = 257,646,040.67/18,196.76
  6. Step 6: Final answer
    x = 14,158.90

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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.