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Finding the Fourth Proportional to 22,916.01, 31,623.67 and 12,844.58

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Solution

The fourth proportional to 22,916.01, 31,623.67 and 12,844.58 is: 17,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,916.01 : 31,623.67 = 12,844.58 : x
  2. Step 2: Convert to fraction form
    22,916.01/31,623.67 = 12,844.58/x
  3. Step 3: Cross multiply
    22,916.01x = 31,623.67 × 12,844.58
  4. Step 4: Simplify right side
    22,916.01x = 406,192,544.90
  5. Step 5: Solve for x
    x = 406,192,544.90/22,916.01
  6. Step 6: Final answer
    x = 17,725.27

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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.