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Finding the Fourth Proportional to 12,023.47, 16,588.68 and 6,986.73

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Solution

The fourth proportional to 12,023.47, 16,588.68 and 6,986.73 is: 9,639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.47 : 16,588.68 = 6,986.73 : x
  2. Step 2: Convert to fraction form
    12,023.47/16,588.68 = 6,986.73/x
  3. Step 3: Cross multiply
    12,023.47x = 16,588.68 × 6,986.73
  4. Step 4: Simplify right side
    12,023.47x = 115,900,628.22
  5. Step 5: Solve for x
    x = 115,900,628.22/12,023.47
  6. Step 6: Final answer
    x = 9,639.53

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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.