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Finding the Fourth Proportional to 24,867, 34,345.62 and 16,468.92

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Solution

The fourth proportional to 24,867, 34,345.62 and 16,468.92 is: 22,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867 : 34,345.62 = 16,468.92 : x
  2. Step 2: Convert to fraction form
    24,867/34,345.62 = 16,468.92/x
  3. Step 3: Cross multiply
    24,867x = 34,345.62 × 16,468.92
  4. Step 4: Simplify right side
    24,867x = 565,635,268.13
  5. Step 5: Solve for x
    x = 565,635,268.13/24,867
  6. Step 6: Final answer
    x = 22,746.42

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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.