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Finding the Fourth Proportional to 22,853.16, 31,537.89 and 12,781.17

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Solution

The fourth proportional to 22,853.16, 31,537.89 and 12,781.17 is: 17,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,853.16 : 31,537.89 = 12,781.17 : x
  2. Step 2: Convert to fraction form
    22,853.16/31,537.89 = 12,781.17/x
  3. Step 3: Cross multiply
    22,853.16x = 31,537.89 × 12,781.17
  4. Step 4: Simplify right side
    22,853.16x = 403,091,133.53
  5. Step 5: Solve for x
    x = 403,091,133.53/22,853.16
  6. Step 6: Final answer
    x = 17,638.31

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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.