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Finding the Fourth Proportional to 13,414.14, 20,120.90 and 4,648.95

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Solution

The fourth proportional to 13,414.14, 20,120.90 and 4,648.95 is: 6,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.14 : 20,120.90 = 4,648.95 : x
  2. Step 2: Convert to fraction form
    13,414.14/20,120.90 = 4,648.95/x
  3. Step 3: Cross multiply
    13,414.14x = 20,120.90 × 4,648.95
  4. Step 4: Simplify right side
    13,414.14x = 93,541,034.81
  5. Step 5: Solve for x
    x = 93,541,034.81/13,414.14
  6. Step 6: Final answer
    x = 6,973.32

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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.