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Finding the Fourth Proportional to 15,822.44, 21,835.78 and 9,109.04

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Solution

The fourth proportional to 15,822.44, 21,835.78 and 9,109.04 is: 12,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.44 : 21,835.78 = 9,109.04 : x
  2. Step 2: Convert to fraction form
    15,822.44/21,835.78 = 9,109.04/x
  3. Step 3: Cross multiply
    15,822.44x = 21,835.78 × 9,109.04
  4. Step 4: Simplify right side
    15,822.44x = 198,902,993.45
  5. Step 5: Solve for x
    x = 198,902,993.45/15,822.44
  6. Step 6: Final answer
    x = 12,570.94

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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.