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Finding the Fourth Proportional to 13,023.87, 17,981.85 and 8,314.53

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Solution

The fourth proportional to 13,023.87, 17,981.85 and 8,314.53 is: 11,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.87 : 17,981.85 = 8,314.53 : x
  2. Step 2: Convert to fraction form
    13,023.87/17,981.85 = 8,314.53/x
  3. Step 3: Cross multiply
    13,023.87x = 17,981.85 × 8,314.53
  4. Step 4: Simplify right side
    13,023.87x = 149,510,631.28
  5. Step 5: Solve for x
    x = 149,510,631.28/13,023.87
  6. Step 6: Final answer
    x = 11,479.74

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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.