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Finding the Fourth Proportional to 12,327.12, 17,011.86 and 7,022.76

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Solution

The fourth proportional to 12,327.12, 17,011.86 and 7,022.76 is: 9,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.12 : 17,011.86 = 7,022.76 : x
  2. Step 2: Convert to fraction form
    12,327.12/17,011.86 = 7,022.76/x
  3. Step 3: Cross multiply
    12,327.12x = 17,011.86 × 7,022.76
  4. Step 4: Simplify right side
    12,327.12x = 119,470,209.93
  5. Step 5: Solve for x
    x = 119,470,209.93/12,327.12
  6. Step 6: Final answer
    x = 9,691.66

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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.