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Finding the Fourth Proportional to 18,165.34, 27,233.16 and 9,402.76

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Solution

The fourth proportional to 18,165.34, 27,233.16 and 9,402.76 is: 14,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,165.34 : 27,233.16 = 9,402.76 : x
  2. Step 2: Convert to fraction form
    18,165.34/27,233.16 = 9,402.76/x
  3. Step 3: Cross multiply
    18,165.34x = 27,233.16 × 9,402.76
  4. Step 4: Simplify right side
    18,165.34x = 256,066,867.52
  5. Step 5: Solve for x
    x = 256,066,867.52/18,165.34
  6. Step 6: Final answer
    x = 14,096.45

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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.