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Finding the Fourth Proportional to 21,470.52, 32,193.90 and 7,422.96

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Solution

The fourth proportional to 21,470.52, 32,193.90 and 7,422.96 is: 11,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.52 : 32,193.90 = 7,422.96 : x
  2. Step 2: Convert to fraction form
    21,470.52/32,193.90 = 7,422.96/x
  3. Step 3: Cross multiply
    21,470.52x = 32,193.90 × 7,422.96
  4. Step 4: Simplify right side
    21,470.52x = 238,974,031.94
  5. Step 5: Solve for x
    x = 238,974,031.94/21,470.52
  6. Step 6: Final answer
    x = 11,130.33

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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.