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Finding the Fourth Proportional to 20,783.36, 28,671.90 and 12,395

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Solution

The fourth proportional to 20,783.36, 28,671.90 and 12,395 is: 17,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.36 : 28,671.90 = 12,395 : x
  2. Step 2: Convert to fraction form
    20,783.36/28,671.90 = 12,395/x
  3. Step 3: Cross multiply
    20,783.36x = 28,671.90 × 12,395
  4. Step 4: Simplify right side
    20,783.36x = 355,388,200.50
  5. Step 5: Solve for x
    x = 355,388,200.50/20,783.36
  6. Step 6: Final answer
    x = 17,099.65

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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.