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Finding the Fourth Proportional to 17,631.92, 24,332.74 and 9,674.48

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Solution

The fourth proportional to 17,631.92, 24,332.74 and 9,674.48 is: 13,351.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631.92 : 24,332.74 = 9,674.48 : x
  2. Step 2: Convert to fraction form
    17,631.92/24,332.74 = 9,674.48/x
  3. Step 3: Cross multiply
    17,631.92x = 24,332.74 × 9,674.48
  4. Step 4: Simplify right side
    17,631.92x = 235,406,606.48
  5. Step 5: Solve for x
    x = 235,406,606.48/17,631.92
  6. Step 6: Final answer
    x = 13,351.16

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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.