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Finding the Fourth Proportional to 12,718.92, 19,074.33 and 5,322

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Solution

The fourth proportional to 12,718.92, 19,074.33 and 5,322 is: 7,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.92 : 19,074.33 = 5,322 : x
  2. Step 2: Convert to fraction form
    12,718.92/19,074.33 = 5,322/x
  3. Step 3: Cross multiply
    12,718.92x = 19,074.33 × 5,322
  4. Step 4: Simplify right side
    12,718.92x = 101,513,584.26
  5. Step 5: Solve for x
    x = 101,513,584.26/12,718.92
  6. Step 6: Final answer
    x = 7,981.31

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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.