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Finding the Fourth Proportional to 12,017.54, 16,584.11 and 6,984.71

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Solution

The fourth proportional to 12,017.54, 16,584.11 and 6,984.71 is: 9,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.54 : 16,584.11 = 6,984.71 : x
  2. Step 2: Convert to fraction form
    12,017.54/16,584.11 = 6,984.71/x
  3. Step 3: Cross multiply
    12,017.54x = 16,584.11 × 6,984.71
  4. Step 4: Simplify right side
    12,017.54x = 115,835,195.69
  5. Step 5: Solve for x
    x = 115,835,195.69/12,017.54
  6. Step 6: Final answer
    x = 9,638.84

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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.