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Finding the Fourth Proportional to 12,217.89, 18,332.30 and 7,023.77

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Solution

The fourth proportional to 12,217.89, 18,332.30 and 7,023.77 is: 10,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.89 : 18,332.30 = 7,023.77 : x
  2. Step 2: Convert to fraction form
    12,217.89/18,332.30 = 7,023.77/x
  3. Step 3: Cross multiply
    12,217.89x = 18,332.30 × 7,023.77
  4. Step 4: Simplify right side
    12,217.89x = 128,761,784.67
  5. Step 5: Solve for x
    x = 128,761,784.67/12,217.89
  6. Step 6: Final answer
    x = 10,538.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.