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Finding the Fourth Proportional to 17,617.19, 24,313.01 and 9,660.15

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Solution

The fourth proportional to 17,617.19, 24,313.01 and 9,660.15 is: 13,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.19 : 24,313.01 = 9,660.15 : x
  2. Step 2: Convert to fraction form
    17,617.19/24,313.01 = 9,660.15/x
  3. Step 3: Cross multiply
    17,617.19x = 24,313.01 × 9,660.15
  4. Step 4: Simplify right side
    17,617.19x = 234,867,275.25
  5. Step 5: Solve for x
    x = 234,867,275.25/17,617.19
  6. Step 6: Final answer
    x = 13,331.71

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1.5x scale

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.