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Finding the Fourth Proportional to 22,814.96, 31,484.31 and 12,743.54

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Solution

The fourth proportional to 22,814.96, 31,484.31 and 12,743.54 is: 17,585.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.96 : 31,484.31 = 12,743.54 : x
  2. Step 2: Convert to fraction form
    22,814.96/31,484.31 = 12,743.54/x
  3. Step 3: Cross multiply
    22,814.96x = 31,484.31 × 12,743.54
  4. Step 4: Simplify right side
    22,814.96x = 401,221,476.71
  5. Step 5: Solve for x
    x = 401,221,476.71/22,814.96
  6. Step 6: Final answer
    x = 17,585.90

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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.