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Finding the Fourth Proportional to 24,632.81, 33,993.29 and 13,454.81

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Solution

The fourth proportional to 24,632.81, 33,993.29 and 13,454.81 is: 18,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.81 : 33,993.29 = 13,454.81 : x
  2. Step 2: Convert to fraction form
    24,632.81/33,993.29 = 13,454.81/x
  3. Step 3: Cross multiply
    24,632.81x = 33,993.29 × 13,454.81
  4. Step 4: Simplify right side
    24,632.81x = 457,373,275.93
  5. Step 5: Solve for x
    x = 457,373,275.93/24,632.81
  6. Step 6: Final answer
    x = 18,567.64

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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.