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Finding the Fourth Proportional to 19,177.20, 28,728.90 and 13,828.74

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Solution

The fourth proportional to 19,177.20, 28,728.90 and 13,828.74 is: 20,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,177.20 : 28,728.90 = 13,828.74 : x
  2. Step 2: Convert to fraction form
    19,177.20/28,728.90 = 13,828.74/x
  3. Step 3: Cross multiply
    19,177.20x = 28,728.90 × 13,828.74
  4. Step 4: Simplify right side
    19,177.20x = 397,284,488.59
  5. Step 5: Solve for x
    x = 397,284,488.59/19,177.20
  6. Step 6: Final answer
    x = 20,716.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.