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Finding the Fourth Proportional to 12,681.58, 17,494.68 and 8,206.78

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Solution

The fourth proportional to 12,681.58, 17,494.68 and 8,206.78 is: 11,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.58 : 17,494.68 = 8,206.78 : x
  2. Step 2: Convert to fraction form
    12,681.58/17,494.68 = 8,206.78/x
  3. Step 3: Cross multiply
    12,681.58x = 17,494.68 × 8,206.78
  4. Step 4: Simplify right side
    12,681.58x = 143,574,902.46
  5. Step 5: Solve for x
    x = 143,574,902.46/12,681.58
  6. Step 6: Final answer
    x = 11,321.54

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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.