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Finding the Fourth Proportional to 12,374.68, 18,561.71 and 3,609.67

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Solution

The fourth proportional to 12,374.68, 18,561.71 and 3,609.67 is: 5,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.68 : 18,561.71 = 3,609.67 : x
  2. Step 2: Convert to fraction form
    12,374.68/18,561.71 = 3,609.67/x
  3. Step 3: Cross multiply
    12,374.68x = 18,561.71 × 3,609.67
  4. Step 4: Simplify right side
    12,374.68x = 67,001,638.71
  5. Step 5: Solve for x
    x = 67,001,638.71/12,374.68
  6. Step 6: Final answer
    x = 5,414.41

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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.