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Finding the Fourth Proportional to 21,461.14, 32,193.15 and 7,422.54

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Solution

The fourth proportional to 21,461.14, 32,193.15 and 7,422.54 is: 11,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.14 : 32,193.15 = 7,422.54 : x
  2. Step 2: Convert to fraction form
    21,461.14/32,193.15 = 7,422.54/x
  3. Step 3: Cross multiply
    21,461.14x = 32,193.15 × 7,422.54
  4. Step 4: Simplify right side
    21,461.14x = 238,954,943.60
  5. Step 5: Solve for x
    x = 238,954,943.60/21,461.14
  6. Step 6: Final answer
    x = 11,134.31

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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.