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Finding the Fourth Proportional to 21,094.70, 31,642.07 and 8,614.72

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Solution

The fourth proportional to 21,094.70, 31,642.07 and 8,614.72 is: 12,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,094.70 : 31,642.07 = 8,614.72 : x
  2. Step 2: Convert to fraction form
    21,094.70/31,642.07 = 8,614.72/x
  3. Step 3: Cross multiply
    21,094.70x = 31,642.07 × 8,614.72
  4. Step 4: Simplify right side
    21,094.70x = 272,587,515.70
  5. Step 5: Solve for x
    x = 272,587,515.70/21,094.70
  6. Step 6: Final answer
    x = 12,922.09

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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.