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Finding the Fourth Proportional to 17,722.94, 24,458.75 and 9,765.17

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Solution

The fourth proportional to 17,722.94, 24,458.75 and 9,765.17 is: 13,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.94 : 24,458.75 = 9,765.17 : x
  2. Step 2: Convert to fraction form
    17,722.94/24,458.75 = 9,765.17/x
  3. Step 3: Cross multiply
    17,722.94x = 24,458.75 × 9,765.17
  4. Step 4: Simplify right side
    17,722.94x = 238,843,753.86
  5. Step 5: Solve for x
    x = 238,843,753.86/17,722.94
  6. Step 6: Final answer
    x = 13,476.53

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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.