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Finding the Fourth Proportional to 19,202.60, 28,774.68 and 14,249

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Solution

The fourth proportional to 19,202.60, 28,774.68 and 14,249 is: 21,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202.60 : 28,774.68 = 14,249 : x
  2. Step 2: Convert to fraction form
    19,202.60/28,774.68 = 14,249/x
  3. Step 3: Cross multiply
    19,202.60x = 28,774.68 × 14,249
  4. Step 4: Simplify right side
    19,202.60x = 410,010,415.32
  5. Step 5: Solve for x
    x = 410,010,415.32/19,202.60
  6. Step 6: Final answer
    x = 21,351.82

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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.