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Finding the Fourth Proportional to 18,933.60, 28,400.40 and 7,838.76

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Solution

The fourth proportional to 18,933.60, 28,400.40 and 7,838.76 is: 11,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,933.60 : 28,400.40 = 7,838.76 : x
  2. Step 2: Convert to fraction form
    18,933.60/28,400.40 = 7,838.76/x
  3. Step 3: Cross multiply
    18,933.60x = 28,400.40 × 7,838.76
  4. Step 4: Simplify right side
    18,933.60x = 222,623,919.50
  5. Step 5: Solve for x
    x = 222,623,919.50/18,933.60
  6. Step 6: Final answer
    x = 11,758.14

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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.