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Finding the Fourth Proportional to 12,114.45, 18,142.52 and 8,207.01

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Solution

The fourth proportional to 12,114.45, 18,142.52 and 8,207.01 is: 12,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.45 : 18,142.52 = 8,207.01 : x
  2. Step 2: Convert to fraction form
    12,114.45/18,142.52 = 8,207.01/x
  3. Step 3: Cross multiply
    12,114.45x = 18,142.52 × 8,207.01
  4. Step 4: Simplify right side
    12,114.45x = 148,895,802.03
  5. Step 5: Solve for x
    x = 148,895,802.03/12,114.45
  6. Step 6: Final answer
    x = 12,290.76

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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.