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Finding the Fourth Proportional to 13,981.20, 20,946.96 and 7,411.92

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Solution

The fourth proportional to 13,981.20, 20,946.96 and 7,411.92 is: 11,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.20 : 20,946.96 = 7,411.92 : x
  2. Step 2: Convert to fraction form
    13,981.20/20,946.96 = 7,411.92/x
  3. Step 3: Cross multiply
    13,981.20x = 20,946.96 × 7,411.92
  4. Step 4: Simplify right side
    13,981.20x = 155,257,191.76
  5. Step 5: Solve for x
    x = 155,257,191.76/13,981.20
  6. Step 6: Final answer
    x = 11,104.71

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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.