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Finding the Fourth Proportional to 15,855.69, 21,881.01 and 9,566.85

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Solution

The fourth proportional to 15,855.69, 21,881.01 and 9,566.85 is: 13,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.69 : 21,881.01 = 9,566.85 : x
  2. Step 2: Convert to fraction form
    15,855.69/21,881.01 = 9,566.85/x
  3. Step 3: Cross multiply
    15,855.69x = 21,881.01 × 9,566.85
  4. Step 4: Simplify right side
    15,855.69x = 209,332,183.28
  5. Step 5: Solve for x
    x = 209,332,183.28/15,855.69
  6. Step 6: Final answer
    x = 13,202.34

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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.