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Finding the Fourth Proportional to 14,651.92, 20,219.70 and 7,937.53

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Solution

The fourth proportional to 14,651.92, 20,219.70 and 7,937.53 is: 10,953.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.92 : 20,219.70 = 7,937.53 : x
  2. Step 2: Convert to fraction form
    14,651.92/20,219.70 = 7,937.53/x
  3. Step 3: Cross multiply
    14,651.92x = 20,219.70 × 7,937.53
  4. Step 4: Simplify right side
    14,651.92x = 160,494,334.55
  5. Step 5: Solve for x
    x = 160,494,334.55/14,651.92
  6. Step 6: Final answer
    x = 10,953.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.