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Finding the Fourth Proportional to 17,680.75, 24,399.43 and 9,722.90

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Solution

The fourth proportional to 17,680.75, 24,399.43 and 9,722.90 is: 13,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.75 : 24,399.43 = 9,722.90 : x
  2. Step 2: Convert to fraction form
    17,680.75/24,399.43 = 9,722.90/x
  3. Step 3: Cross multiply
    17,680.75x = 24,399.43 × 9,722.90
  4. Step 4: Simplify right side
    17,680.75x = 237,233,254.64
  5. Step 5: Solve for x
    x = 237,233,254.64/17,680.75
  6. Step 6: Final answer
    x = 13,417.60

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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.