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Finding the Fourth Proportional to 12,686.82, 19,034.73 and 5,666.19

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Solution

The fourth proportional to 12,686.82, 19,034.73 and 5,666.19 is: 8,501.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.82 : 19,034.73 = 5,666.19 : x
  2. Step 2: Convert to fraction form
    12,686.82/19,034.73 = 5,666.19/x
  3. Step 3: Cross multiply
    12,686.82x = 19,034.73 × 5,666.19
  4. Step 4: Simplify right side
    12,686.82x = 107,854,396.78
  5. Step 5: Solve for x
    x = 107,854,396.78/12,686.82
  6. Step 6: Final answer
    x = 8,501.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.