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Finding the Fourth Proportional to 24,323.42, 33,565.12 and 13,713.02

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Solution

The fourth proportional to 24,323.42, 33,565.12 and 13,713.02 is: 18,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.42 : 33,565.12 = 13,713.02 : x
  2. Step 2: Convert to fraction form
    24,323.42/33,565.12 = 13,713.02/x
  3. Step 3: Cross multiply
    24,323.42x = 33,565.12 × 13,713.02
  4. Step 4: Simplify right side
    24,323.42x = 460,279,161.86
  5. Step 5: Solve for x
    x = 460,279,161.86/24,323.42
  6. Step 6: Final answer
    x = 18,923.29

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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.