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Finding the Fourth Proportional to 20,152.42, 27,797.79 and 13,853.86

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Solution

The fourth proportional to 20,152.42, 27,797.79 and 13,853.86 is: 19,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.42 : 27,797.79 = 13,853.86 : x
  2. Step 2: Convert to fraction form
    20,152.42/27,797.79 = 13,853.86/x
  3. Step 3: Cross multiply
    20,152.42x = 27,797.79 × 13,853.86
  4. Step 4: Simplify right side
    20,152.42x = 385,106,690.97
  5. Step 5: Solve for x
    x = 385,106,690.97/20,152.42
  6. Step 6: Final answer
    x = 19,109.70

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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.