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Finding the Fourth Proportional to 17,662.84, 24,375.66 and 9,705.80

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Solution

The fourth proportional to 17,662.84, 24,375.66 and 9,705.80 is: 13,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.84 : 24,375.66 = 9,705.80 : x
  2. Step 2: Convert to fraction form
    17,662.84/24,375.66 = 9,705.80/x
  3. Step 3: Cross multiply
    17,662.84x = 24,375.66 × 9,705.80
  4. Step 4: Simplify right side
    17,662.84x = 236,585,280.83
  5. Step 5: Solve for x
    x = 236,585,280.83/17,662.84
  6. Step 6: Final answer
    x = 13,394.52

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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.