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Finding the Fourth Proportional to 22,814.50, 31,483.67 and 12,743.09

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Solution

The fourth proportional to 22,814.50, 31,483.67 and 12,743.09 is: 17,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.50 : 31,483.67 = 12,743.09 : x
  2. Step 2: Convert to fraction form
    22,814.50/31,483.67 = 12,743.09/x
  3. Step 3: Cross multiply
    22,814.50x = 31,483.67 × 12,743.09
  4. Step 4: Simplify right side
    22,814.50x = 401,199,082.92
  5. Step 5: Solve for x
    x = 401,199,082.92/22,814.50
  6. Step 6: Final answer
    x = 17,585.27

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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.