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Finding the Fourth Proportional to 19,922.90, 27,493.38 and 10,970.21

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Solution

The fourth proportional to 19,922.90, 27,493.38 and 10,970.21 is: 15,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.90 : 27,493.38 = 10,970.21 : x
  2. Step 2: Convert to fraction form
    19,922.90/27,493.38 = 10,970.21/x
  3. Step 3: Cross multiply
    19,922.90x = 27,493.38 × 10,970.21
  4. Step 4: Simplify right side
    19,922.90x = 301,608,220.94
  5. Step 5: Solve for x
    x = 301,608,220.94/19,922.90
  6. Step 6: Final answer
    x = 15,138.77

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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.