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Finding the Fourth Proportional to 12,290.40, 18,434.18 and 3,406.39

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Solution

The fourth proportional to 12,290.40, 18,434.18 and 3,406.39 is: 5,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.40 : 18,434.18 = 3,406.39 : x
  2. Step 2: Convert to fraction form
    12,290.40/18,434.18 = 3,406.39/x
  3. Step 3: Cross multiply
    12,290.40x = 18,434.18 × 3,406.39
  4. Step 4: Simplify right side
    12,290.40x = 62,793,968.84
  5. Step 5: Solve for x
    x = 62,793,968.84/12,290.40
  6. Step 6: Final answer
    x = 5,109.19

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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.