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Finding the Fourth Proportional to 15,086.83, 22,616.23 and 8,071.68

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Solution

The fourth proportional to 15,086.83, 22,616.23 and 8,071.68 is: 12,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.83 : 22,616.23 = 8,071.68 : x
  2. Step 2: Convert to fraction form
    15,086.83/22,616.23 = 8,071.68/x
  3. Step 3: Cross multiply
    15,086.83x = 22,616.23 × 8,071.68
  4. Step 4: Simplify right side
    15,086.83x = 182,550,971.37
  5. Step 5: Solve for x
    x = 182,550,971.37/15,086.83
  6. Step 6: Final answer
    x = 12,100.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.