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Finding the Fourth Proportional to 21,447.22, 32,169.26 and 7,215.78

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Solution

The fourth proportional to 21,447.22, 32,169.26 and 7,215.78 is: 10,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,447.22 : 32,169.26 = 7,215.78 : x
  2. Step 2: Convert to fraction form
    21,447.22/32,169.26 = 7,215.78/x
  3. Step 3: Cross multiply
    21,447.22x = 32,169.26 × 7,215.78
  4. Step 4: Simplify right side
    21,447.22x = 232,126,302.92
  5. Step 5: Solve for x
    x = 232,126,302.92/21,447.22
  6. Step 6: Final answer
    x = 10,823.14

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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.