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Finding the Fourth Proportional to 17,680.74, 24,399.05 and 9,722.82

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Solution

The fourth proportional to 17,680.74, 24,399.05 and 9,722.82 is: 13,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.74 : 24,399.05 = 9,722.82 : x
  2. Step 2: Convert to fraction form
    17,680.74/24,399.05 = 9,722.82/x
  3. Step 3: Cross multiply
    17,680.74x = 24,399.05 × 9,722.82
  4. Step 4: Simplify right side
    17,680.74x = 237,227,571.32
  5. Step 5: Solve for x
    x = 237,227,571.32/17,680.74
  6. Step 6: Final answer
    x = 13,417.29

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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.