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Finding the Fourth Proportional to 13,407.58, 20,113.20 and 4,640.14

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Solution

The fourth proportional to 13,407.58, 20,113.20 and 4,640.14 is: 6,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.58 : 20,113.20 = 4,640.14 : x
  2. Step 2: Convert to fraction form
    13,407.58/20,113.20 = 4,640.14/x
  3. Step 3: Cross multiply
    13,407.58x = 20,113.20 × 4,640.14
  4. Step 4: Simplify right side
    13,407.58x = 93,328,063.85
  5. Step 5: Solve for x
    x = 93,328,063.85/13,407.58
  6. Step 6: Final answer
    x = 6,960.84

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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.