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Finding the Fourth Proportional to 15,822.18, 21,843.81 and 9,536.58

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Solution

The fourth proportional to 15,822.18, 21,843.81 and 9,536.58 is: 13,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.18 : 21,843.81 = 9,536.58 : x
  2. Step 2: Convert to fraction form
    15,822.18/21,843.81 = 9,536.58/x
  3. Step 3: Cross multiply
    15,822.18x = 21,843.81 × 9,536.58
  4. Step 4: Simplify right side
    15,822.18x = 208,315,241.57
  5. Step 5: Solve for x
    x = 208,315,241.57/15,822.18
  6. Step 6: Final answer
    x = 13,166.03

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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.