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Finding the Fourth Proportional to 21,422.99, 32,142.17 and 9,575.76

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Solution

The fourth proportional to 21,422.99, 32,142.17 and 9,575.76 is: 14,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.99 : 32,142.17 = 9,575.76 : x
  2. Step 2: Convert to fraction form
    21,422.99/32,142.17 = 9,575.76/x
  3. Step 3: Cross multiply
    21,422.99x = 32,142.17 × 9,575.76
  4. Step 4: Simplify right side
    21,422.99x = 307,785,609.21
  5. Step 5: Solve for x
    x = 307,785,609.21/21,422.99
  6. Step 6: Final answer
    x = 14,367.07

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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.