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Finding the Fourth Proportional to 15,842.90, 21,861.72 and 9,468.22

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Solution

The fourth proportional to 15,842.90, 21,861.72 and 9,468.22 is: 13,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.90 : 21,861.72 = 9,468.22 : x
  2. Step 2: Convert to fraction form
    15,842.90/21,861.72 = 9,468.22/x
  3. Step 3: Cross multiply
    15,842.90x = 21,861.72 × 9,468.22
  4. Step 4: Simplify right side
    15,842.90x = 206,991,574.54
  5. Step 5: Solve for x
    x = 206,991,574.54/15,842.90
  6. Step 6: Final answer
    x = 13,065.26

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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.