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Finding the Fourth Proportional to 12,821.90, 17,693.78 and 7,520.22

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Solution

The fourth proportional to 12,821.90, 17,693.78 and 7,520.22 is: 10,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.90 : 17,693.78 = 7,520.22 : x
  2. Step 2: Convert to fraction form
    12,821.90/17,693.78 = 7,520.22/x
  3. Step 3: Cross multiply
    12,821.90x = 17,693.78 × 7,520.22
  4. Step 4: Simplify right side
    12,821.90x = 133,061,118.23
  5. Step 5: Solve for x
    x = 133,061,118.23/12,821.90
  6. Step 6: Final answer
    x = 10,377.64

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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.