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Finding the Fourth Proportional to 22,705.74, 31,317.17 and 15,634.44

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Solution

The fourth proportional to 22,705.74, 31,317.17 and 15,634.44 is: 21,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.74 : 31,317.17 = 15,634.44 : x
  2. Step 2: Convert to fraction form
    22,705.74/31,317.17 = 15,634.44/x
  3. Step 3: Cross multiply
    22,705.74x = 31,317.17 × 15,634.44
  4. Step 4: Simplify right side
    22,705.74x = 489,626,337.16
  5. Step 5: Solve for x
    x = 489,626,337.16/22,705.74
  6. Step 6: Final answer
    x = 21,563.99

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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.