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Finding the Fourth Proportional to 12,523.68, 17,286.48 and 7,221.96

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Solution

The fourth proportional to 12,523.68, 17,286.48 and 7,221.96 is: 9,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.68 : 17,286.48 = 7,221.96 : x
  2. Step 2: Convert to fraction form
    12,523.68/17,286.48 = 7,221.96/x
  3. Step 3: Cross multiply
    12,523.68x = 17,286.48 × 7,221.96
  4. Step 4: Simplify right side
    12,523.68x = 124,842,267.10
  5. Step 5: Solve for x
    x = 124,842,267.10/12,523.68
  6. Step 6: Final answer
    x = 9,968.50

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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.