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Finding the Fourth Proportional to 12,809.81, 19,214.68 and 4,489.82

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Solution

The fourth proportional to 12,809.81, 19,214.68 and 4,489.82 is: 6,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.81 : 19,214.68 = 4,489.82 : x
  2. Step 2: Convert to fraction form
    12,809.81/19,214.68 = 4,489.82/x
  3. Step 3: Cross multiply
    12,809.81x = 19,214.68 × 4,489.82
  4. Step 4: Simplify right side
    12,809.81x = 86,270,347.26
  5. Step 5: Solve for x
    x = 86,270,347.26/12,809.81
  6. Step 6: Final answer
    x = 6,734.71

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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.