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Finding the Fourth Proportional to 15,767.43, 21,769.20 and 9,807.21

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Solution

The fourth proportional to 15,767.43, 21,769.20 and 9,807.21 is: 13,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.43 : 21,769.20 = 9,807.21 : x
  2. Step 2: Convert to fraction form
    15,767.43/21,769.20 = 9,807.21/x
  3. Step 3: Cross multiply
    15,767.43x = 21,769.20 × 9,807.21
  4. Step 4: Simplify right side
    15,767.43x = 213,495,115.93
  5. Step 5: Solve for x
    x = 213,495,115.93/15,767.43
  6. Step 6: Final answer
    x = 13,540.26

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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.