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Finding the Fourth Proportional to 22,677.70, 31,293.84 and 12,605.80

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Solution

The fourth proportional to 22,677.70, 31,293.84 and 12,605.80 is: 17,395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.70 : 31,293.84 = 12,605.80 : x
  2. Step 2: Convert to fraction form
    22,677.70/31,293.84 = 12,605.80/x
  3. Step 3: Cross multiply
    22,677.70x = 31,293.84 × 12,605.80
  4. Step 4: Simplify right side
    22,677.70x = 394,483,888.27
  5. Step 5: Solve for x
    x = 394,483,888.27/22,677.70
  6. Step 6: Final answer
    x = 17,395.23

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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.