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Finding the Fourth Proportional to 21,400.34, 32,097.33 and 8,251.07

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Solution

The fourth proportional to 21,400.34, 32,097.33 and 8,251.07 is: 12,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.34 : 32,097.33 = 8,251.07 : x
  2. Step 2: Convert to fraction form
    21,400.34/32,097.33 = 8,251.07/x
  3. Step 3: Cross multiply
    21,400.34x = 32,097.33 × 8,251.07
  4. Step 4: Simplify right side
    21,400.34x = 264,837,156.16
  5. Step 5: Solve for x
    x = 264,837,156.16/21,400.34
  6. Step 6: Final answer
    x = 12,375.37

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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.