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Finding the Fourth Proportional to 17,618.29, 24,313.05 and 9,660.50

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Solution

The fourth proportional to 17,618.29, 24,313.05 and 9,660.50 is: 13,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.29 : 24,313.05 = 9,660.50 : x
  2. Step 2: Convert to fraction form
    17,618.29/24,313.05 = 9,660.50/x
  3. Step 3: Cross multiply
    17,618.29x = 24,313.05 × 9,660.50
  4. Step 4: Simplify right side
    17,618.29x = 234,876,219.53
  5. Step 5: Solve for x
    x = 234,876,219.53/17,618.29
  6. Step 6: Final answer
    x = 13,331.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.