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Finding the Fourth Proportional to 13,442.77, 20,179.73 and 7,214.95

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Solution

The fourth proportional to 13,442.77, 20,179.73 and 7,214.95 is: 10,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442.77 : 20,179.73 = 7,214.95 : x
  2. Step 2: Convert to fraction form
    13,442.77/20,179.73 = 7,214.95/x
  3. Step 3: Cross multiply
    13,442.77x = 20,179.73 × 7,214.95
  4. Step 4: Simplify right side
    13,442.77x = 145,595,742.96
  5. Step 5: Solve for x
    x = 145,595,742.96/13,442.77
  6. Step 6: Final answer
    x = 10,830.78

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