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Finding the Fourth Proportional to 14,756.62, 22,138.17 and 8,192.38

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Solution

The fourth proportional to 14,756.62, 22,138.17 and 8,192.38 is: 12,290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.62 : 22,138.17 = 8,192.38 : x
  2. Step 2: Convert to fraction form
    14,756.62/22,138.17 = 8,192.38/x
  3. Step 3: Cross multiply
    14,756.62x = 22,138.17 × 8,192.38
  4. Step 4: Simplify right side
    14,756.62x = 181,364,301.14
  5. Step 5: Solve for x
    x = 181,364,301.14/14,756.62
  6. Step 6: Final answer
    x = 12,290.37

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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.