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Finding the Fourth Proportional to 20,788.36, 28,678.80 and 12,400

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Solution

The fourth proportional to 20,788.36, 28,678.80 and 12,400 is: 17,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,788.36 : 28,678.80 = 12,400 : x
  2. Step 2: Convert to fraction form
    20,788.36/28,678.80 = 12,400/x
  3. Step 3: Cross multiply
    20,788.36x = 28,678.80 × 12,400
  4. Step 4: Simplify right side
    20,788.36x = 355,617,120
  5. Step 5: Solve for x
    x = 355,617,120/20,788.36
  6. Step 6: Final answer
    x = 17,106.55

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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.