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Finding the Fourth Proportional to 22,883.53, 31,577.74 and 12,810.27

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Solution

The fourth proportional to 22,883.53, 31,577.74 and 12,810.27 is: 17,677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.53 : 31,577.74 = 12,810.27 : x
  2. Step 2: Convert to fraction form
    22,883.53/31,577.74 = 12,810.27/x
  3. Step 3: Cross multiply
    22,883.53x = 31,577.74 × 12,810.27
  4. Step 4: Simplify right side
    22,883.53x = 404,519,375.39
  5. Step 5: Solve for x
    x = 404,519,375.39/22,883.53
  6. Step 6: Final answer
    x = 17,677.32

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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.