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Finding the Fourth Proportional to 12,302.71, 18,456.81 and 3,536.94

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Solution

The fourth proportional to 12,302.71, 18,456.81 and 3,536.94 is: 5,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.71 : 18,456.81 = 3,536.94 : x
  2. Step 2: Convert to fraction form
    12,302.71/18,456.81 = 3,536.94/x
  3. Step 3: Cross multiply
    12,302.71x = 18,456.81 × 3,536.94
  4. Step 4: Simplify right side
    12,302.71x = 65,280,653.50
  5. Step 5: Solve for x
    x = 65,280,653.50/12,302.71
  6. Step 6: Final answer
    x = 5,306.20

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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.