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Finding the Fourth Proportional to 12,681.48, 17,494.62 and 8,206.68

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Solution

The fourth proportional to 12,681.48, 17,494.62 and 8,206.68 is: 11,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.48 : 17,494.62 = 8,206.68 : x
  2. Step 2: Convert to fraction form
    12,681.48/17,494.62 = 8,206.68/x
  3. Step 3: Cross multiply
    12,681.48x = 17,494.62 × 8,206.68
  4. Step 4: Simplify right side
    12,681.48x = 143,572,748.06
  5. Step 5: Solve for x
    x = 143,572,748.06/12,681.48
  6. Step 6: Final answer
    x = 11,321.45

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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.