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Finding the Fourth Proportional to 17,618.42, 24,313.38 and 9,660.90

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Solution

The fourth proportional to 17,618.42, 24,313.38 and 9,660.90 is: 13,332.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.42 : 24,313.38 = 9,660.90 : x
  2. Step 2: Convert to fraction form
    17,618.42/24,313.38 = 9,660.90/x
  3. Step 3: Cross multiply
    17,618.42x = 24,313.38 × 9,660.90
  4. Step 4: Simplify right side
    17,618.42x = 234,889,132.84
  5. Step 5: Solve for x
    x = 234,889,132.84/17,618.42
  6. Step 6: Final answer
    x = 13,332.02

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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.