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Finding the Fourth Proportional to 15,855.83, 21,883.18 and 9,141.33

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Solution

The fourth proportional to 15,855.83, 21,883.18 and 9,141.33 is: 12,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.83 : 21,883.18 = 9,141.33 : x
  2. Step 2: Convert to fraction form
    15,855.83/21,883.18 = 9,141.33/x
  3. Step 3: Cross multiply
    15,855.83x = 21,883.18 × 9,141.33
  4. Step 4: Simplify right side
    15,855.83x = 200,041,369.83
  5. Step 5: Solve for x
    x = 200,041,369.83/15,855.83
  6. Step 6: Final answer
    x = 12,616.27

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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.