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Finding the Fourth Proportional to 22,814.85, 31,483.84 and 12,742.99

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Solution

The fourth proportional to 22,814.85, 31,483.84 and 12,742.99 is: 17,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.85 : 31,483.84 = 12,742.99 : x
  2. Step 2: Convert to fraction form
    22,814.85/31,483.84 = 12,742.99/x
  3. Step 3: Cross multiply
    22,814.85x = 31,483.84 × 12,742.99
  4. Step 4: Simplify right side
    22,814.85x = 401,198,194.57
  5. Step 5: Solve for x
    x = 401,198,194.57/22,814.85
  6. Step 6: Final answer
    x = 17,584.96

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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.