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Finding the Fourth Proportional to 14,180.31, 21,279.07 and 5,302.10

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Solution

The fourth proportional to 14,180.31, 21,279.07 and 5,302.10 is: 7,956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,180.31 : 21,279.07 = 5,302.10 : x
  2. Step 2: Convert to fraction form
    14,180.31/21,279.07 = 5,302.10/x
  3. Step 3: Cross multiply
    14,180.31x = 21,279.07 × 5,302.10
  4. Step 4: Simplify right side
    14,180.31x = 112,823,757.05
  5. Step 5: Solve for x
    x = 112,823,757.05/14,180.31
  6. Step 6: Final answer
    x = 7,956.37

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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.