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Finding the Fourth Proportional to 21,205.72, 29,265.78 and 15,891.40

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Solution

The fourth proportional to 21,205.72, 29,265.78 and 15,891.40 is: 21,931.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.72 : 29,265.78 = 15,891.40 : x
  2. Step 2: Convert to fraction form
    21,205.72/29,265.78 = 15,891.40/x
  3. Step 3: Cross multiply
    21,205.72x = 29,265.78 × 15,891.40
  4. Step 4: Simplify right side
    21,205.72x = 465,074,216.29
  5. Step 5: Solve for x
    x = 465,074,216.29/21,205.72
  6. Step 6: Final answer
    x = 21,931.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.