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Finding the Fourth Proportional to 14,145.60, 21,202.92 and 7,114.41

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Solution

The fourth proportional to 14,145.60, 21,202.92 and 7,114.41 is: 10,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.60 : 21,202.92 = 7,114.41 : x
  2. Step 2: Convert to fraction form
    14,145.60/21,202.92 = 7,114.41/x
  3. Step 3: Cross multiply
    14,145.60x = 21,202.92 × 7,114.41
  4. Step 4: Simplify right side
    14,145.60x = 150,846,266.08
  5. Step 5: Solve for x
    x = 150,846,266.08/14,145.60
  6. Step 6: Final answer
    x = 10,663.83

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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.