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Finding the Fourth Proportional to 22,819.81, 31,491.34 and 12,883.81

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Solution

The fourth proportional to 22,819.81, 31,491.34 and 12,883.81 is: 17,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.81 : 31,491.34 = 12,883.81 : x
  2. Step 2: Convert to fraction form
    22,819.81/31,491.34 = 12,883.81/x
  3. Step 3: Cross multiply
    22,819.81x = 31,491.34 × 12,883.81
  4. Step 4: Simplify right side
    22,819.81x = 405,728,441.21
  5. Step 5: Solve for x
    x = 405,728,441.21/22,819.81
  6. Step 6: Final answer
    x = 17,779.66

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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.