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Finding the Fourth Proportional to 12,020.46, 16,587.04 and 6,715.17

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Solution

The fourth proportional to 12,020.46, 16,587.04 and 6,715.17 is: 9,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.46 : 16,587.04 = 6,715.17 : x
  2. Step 2: Convert to fraction form
    12,020.46/16,587.04 = 6,715.17/x
  3. Step 3: Cross multiply
    12,020.46x = 16,587.04 × 6,715.17
  4. Step 4: Simplify right side
    12,020.46x = 111,384,793.40
  5. Step 5: Solve for x
    x = 111,384,793.40/12,020.46
  6. Step 6: Final answer
    x = 9,266.27

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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.