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Finding the Fourth Proportional to 13,214.60, 18,236.31 and 7,246.42

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Solution

The fourth proportional to 13,214.60, 18,236.31 and 7,246.42 is: 10,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.60 : 18,236.31 = 7,246.42 : x
  2. Step 2: Convert to fraction form
    13,214.60/18,236.31 = 7,246.42/x
  3. Step 3: Cross multiply
    13,214.60x = 18,236.31 × 7,246.42
  4. Step 4: Simplify right side
    13,214.60x = 132,147,888.75
  5. Step 5: Solve for x
    x = 132,147,888.75/13,214.60
  6. Step 6: Final answer
    x = 10,000.14

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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.