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Finding the Fourth Proportional to 18,313.38, 27,470 and 5,165.72

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Solution

The fourth proportional to 18,313.38, 27,470 and 5,165.72 is: 7,748.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,313.38 : 27,470 = 5,165.72 : x
  2. Step 2: Convert to fraction form
    18,313.38/27,470 = 5,165.72/x
  3. Step 3: Cross multiply
    18,313.38x = 27,470 × 5,165.72
  4. Step 4: Simplify right side
    18,313.38x = 141,902,328.40
  5. Step 5: Solve for x
    x = 141,902,328.40/18,313.38
  6. Step 6: Final answer
    x = 7,748.56

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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.