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Finding the Fourth Proportional to 22,814.90, 31,484.22 and 12,743.48

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Solution

The fourth proportional to 22,814.90, 31,484.22 and 12,743.48 is: 17,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.90 : 31,484.22 = 12,743.48 : x
  2. Step 2: Convert to fraction form
    22,814.90/31,484.22 = 12,743.48/x
  3. Step 3: Cross multiply
    22,814.90x = 31,484.22 × 12,743.48
  4. Step 4: Simplify right side
    22,814.90x = 401,218,370.46
  5. Step 5: Solve for x
    x = 401,218,370.46/22,814.90
  6. Step 6: Final answer
    x = 17,585.81

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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.