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Finding the Fourth Proportional to 13,164.60, 19,743.30 and 5,374.20

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Solution

The fourth proportional to 13,164.60, 19,743.30 and 5,374.20 is: 8,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.60 : 19,743.30 = 5,374.20 : x
  2. Step 2: Convert to fraction form
    13,164.60/19,743.30 = 5,374.20/x
  3. Step 3: Cross multiply
    13,164.60x = 19,743.30 × 5,374.20
  4. Step 4: Simplify right side
    13,164.60x = 106,104,442.86
  5. Step 5: Solve for x
    x = 106,104,442.86/13,164.60
  6. Step 6: Final answer
    x = 8,059.83

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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.