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Finding the Fourth Proportional to 21,987.72, 32,965.92 and 10,294.56

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Solution

The fourth proportional to 21,987.72, 32,965.92 and 10,294.56 is: 15,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987.72 : 32,965.92 = 10,294.56 : x
  2. Step 2: Convert to fraction form
    21,987.72/32,965.92 = 10,294.56/x
  3. Step 3: Cross multiply
    21,987.72x = 32,965.92 × 10,294.56
  4. Step 4: Simplify right side
    21,987.72x = 339,369,641.40
  5. Step 5: Solve for x
    x = 339,369,641.40/21,987.72
  6. Step 6: Final answer
    x = 15,434.51

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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.