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Finding the Fourth Proportional to 24,632.06, 33,992.38 and 13,454.06

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Solution

The fourth proportional to 24,632.06, 33,992.38 and 13,454.06 is: 18,566.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.06 : 33,992.38 = 13,454.06 : x
  2. Step 2: Convert to fraction form
    24,632.06/33,992.38 = 13,454.06/x
  3. Step 3: Cross multiply
    24,632.06x = 33,992.38 × 13,454.06
  4. Step 4: Simplify right side
    24,632.06x = 457,335,621.86
  5. Step 5: Solve for x
    x = 457,335,621.86/24,632.06
  6. Step 6: Final answer
    x = 18,566.68

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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.