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Finding the Fourth Proportional to 12,685.38, 17,506.44 and 7,020.11

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Solution

The fourth proportional to 12,685.38, 17,506.44 and 7,020.11 is: 9,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.38 : 17,506.44 = 7,020.11 : x
  2. Step 2: Convert to fraction form
    12,685.38/17,506.44 = 7,020.11/x
  3. Step 3: Cross multiply
    12,685.38x = 17,506.44 × 7,020.11
  4. Step 4: Simplify right side
    12,685.38x = 122,897,046.98
  5. Step 5: Solve for x
    x = 122,897,046.98/12,685.38
  6. Step 6: Final answer
    x = 9,688.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.