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Finding the Fourth Proportional to 20,842.58, 28,758.12 and 12,340.46

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Solution

The fourth proportional to 20,842.58, 28,758.12 and 12,340.46 is: 17,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.58 : 28,758.12 = 12,340.46 : x
  2. Step 2: Convert to fraction form
    20,842.58/28,758.12 = 12,340.46/x
  3. Step 3: Cross multiply
    20,842.58x = 28,758.12 × 12,340.46
  4. Step 4: Simplify right side
    20,842.58x = 354,888,429.54
  5. Step 5: Solve for x
    x = 354,888,429.54/20,842.58
  6. Step 6: Final answer
    x = 17,027.09

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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.