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Finding the Fourth Proportional to 22,817.63, 31,487.98 and 12,746.22

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Solution

The fourth proportional to 22,817.63, 31,487.98 and 12,746.22 is: 17,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.63 : 31,487.98 = 12,746.22 : x
  2. Step 2: Convert to fraction form
    22,817.63/31,487.98 = 12,746.22/x
  3. Step 3: Cross multiply
    22,817.63x = 31,487.98 × 12,746.22
  4. Step 4: Simplify right side
    22,817.63x = 401,352,720.44
  5. Step 5: Solve for x
    x = 401,352,720.44/22,817.63
  6. Step 6: Final answer
    x = 17,589.59

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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.