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Finding the Fourth Proportional to 17,883.83, 24,678.76 and 10,616.22

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Solution

The fourth proportional to 17,883.83, 24,678.76 and 10,616.22 is: 14,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.83 : 24,678.76 = 10,616.22 : x
  2. Step 2: Convert to fraction form
    17,883.83/24,678.76 = 10,616.22/x
  3. Step 3: Cross multiply
    17,883.83x = 24,678.76 × 10,616.22
  4. Step 4: Simplify right side
    17,883.83x = 261,995,251.30
  5. Step 5: Solve for x
    x = 261,995,251.30/17,883.83
  6. Step 6: Final answer
    x = 14,649.84

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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.