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Finding the Fourth Proportional to 24,796.86, 34,218.66 and 13,465.92

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Solution

The fourth proportional to 24,796.86, 34,218.66 and 13,465.92 is: 18,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,796.86 : 34,218.66 = 13,465.92 : x
  2. Step 2: Convert to fraction form
    24,796.86/34,218.66 = 13,465.92/x
  3. Step 3: Cross multiply
    24,796.86x = 34,218.66 × 13,465.92
  4. Step 4: Simplify right side
    24,796.86x = 460,785,738.07
  5. Step 5: Solve for x
    x = 460,785,738.07/24,796.86
  6. Step 6: Final answer
    x = 18,582.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.