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Finding the Fourth Proportional to 17,632.65, 24,332.96 and 9,674.67

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Solution

The fourth proportional to 17,632.65, 24,332.96 and 9,674.67 is: 13,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.65 : 24,332.96 = 9,674.67 : x
  2. Step 2: Convert to fraction form
    17,632.65/24,332.96 = 9,674.67/x
  3. Step 3: Cross multiply
    17,632.65x = 24,332.96 × 9,674.67
  4. Step 4: Simplify right side
    17,632.65x = 235,413,309.75
  5. Step 5: Solve for x
    x = 235,413,309.75/17,632.65
  6. Step 6: Final answer
    x = 13,350.99

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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.