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Finding the Fourth Proportional to 20,417.32, 30,745.90 and 17,815.85

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Solution

The fourth proportional to 20,417.32, 30,745.90 and 17,815.85 is: 26,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,417.32 : 30,745.90 = 17,815.85 : x
  2. Step 2: Convert to fraction form
    20,417.32/30,745.90 = 17,815.85/x
  3. Step 3: Cross multiply
    20,417.32x = 30,745.90 × 17,815.85
  4. Step 4: Simplify right side
    20,417.32x = 547,764,342.52
  5. Step 5: Solve for x
    x = 547,764,342.52/20,417.32
  6. Step 6: Final answer
    x = 26,828.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.