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Finding the Fourth Proportional to 12,665.82, 17,468.85 and 11,817

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Solution

The fourth proportional to 12,665.82, 17,468.85 and 11,817 is: 16,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.82 : 17,468.85 = 11,817 : x
  2. Step 2: Convert to fraction form
    12,665.82/17,468.85 = 11,817/x
  3. Step 3: Cross multiply
    12,665.82x = 17,468.85 × 11,817
  4. Step 4: Simplify right side
    12,665.82x = 206,429,400.45
  5. Step 5: Solve for x
    x = 206,429,400.45/12,665.82
  6. Step 6: Final answer
    x = 16,298.15

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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.