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Finding the Fourth Proportional to 12,409.20, 18,605.16 and 4,615.92

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Solution

The fourth proportional to 12,409.20, 18,605.16 and 4,615.92 is: 6,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.20 : 18,605.16 = 4,615.92 : x
  2. Step 2: Convert to fraction form
    12,409.20/18,605.16 = 4,615.92/x
  3. Step 3: Cross multiply
    12,409.20x = 18,605.16 × 4,615.92
  4. Step 4: Simplify right side
    12,409.20x = 85,879,930.15
  5. Step 5: Solve for x
    x = 85,879,930.15/12,409.20
  6. Step 6: Final answer
    x = 6,920.67

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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.