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Finding the Fourth Proportional to 21,122.42, 31,673.51 and 7,966.40

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Solution

The fourth proportional to 21,122.42, 31,673.51 and 7,966.40 is: 11,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122.42 : 31,673.51 = 7,966.40 : x
  2. Step 2: Convert to fraction form
    21,122.42/31,673.51 = 7,966.40/x
  3. Step 3: Cross multiply
    21,122.42x = 31,673.51 × 7,966.40
  4. Step 4: Simplify right side
    21,122.42x = 252,323,837.50
  5. Step 5: Solve for x
    x = 252,323,837.50/21,122.42
  6. Step 6: Final answer
    x = 11,945.78

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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.