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Finding the Fourth Proportional to 20,188.84, 27,854.25 and 14,223.80

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Solution

The fourth proportional to 20,188.84, 27,854.25 and 14,223.80 is: 19,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.84 : 27,854.25 = 14,223.80 : x
  2. Step 2: Convert to fraction form
    20,188.84/27,854.25 = 14,223.80/x
  3. Step 3: Cross multiply
    20,188.84x = 27,854.25 × 14,223.80
  4. Step 4: Simplify right side
    20,188.84x = 396,193,281.15
  5. Step 5: Solve for x
    x = 396,193,281.15/20,188.84
  6. Step 6: Final answer
    x = 19,624.38

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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.