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Finding the Fourth Proportional to 12,677.70, 19,022.48 and 5,656.97

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Solution

The fourth proportional to 12,677.70, 19,022.48 and 5,656.97 is: 8,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.70 : 19,022.48 = 5,656.97 : x
  2. Step 2: Convert to fraction form
    12,677.70/19,022.48 = 5,656.97/x
  3. Step 3: Cross multiply
    12,677.70x = 19,022.48 × 5,656.97
  4. Step 4: Simplify right side
    12,677.70x = 107,609,475.29
  5. Step 5: Solve for x
    x = 107,609,475.29/12,677.70
  6. Step 6: Final answer
    x = 8,488.09

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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.