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Finding the Fourth Proportional to 17,722.53, 24,458.47 and 9,766.17

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Solution

The fourth proportional to 17,722.53, 24,458.47 and 9,766.17 is: 13,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.53 : 24,458.47 = 9,766.17 : x
  2. Step 2: Convert to fraction form
    17,722.53/24,458.47 = 9,766.17/x
  3. Step 3: Cross multiply
    17,722.53x = 24,458.47 × 9,766.17
  4. Step 4: Simplify right side
    17,722.53x = 238,865,551.54
  5. Step 5: Solve for x
    x = 238,865,551.54/17,722.53
  6. Step 6: Final answer
    x = 13,478.07

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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.