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Finding the Fourth Proportional to 20,083.50, 27,728.22 and 12,916.62

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Solution

The fourth proportional to 20,083.50, 27,728.22 and 12,916.62 is: 17,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.50 : 27,728.22 = 12,916.62 : x
  2. Step 2: Convert to fraction form
    20,083.50/27,728.22 = 12,916.62/x
  3. Step 3: Cross multiply
    20,083.50x = 27,728.22 × 12,916.62
  4. Step 4: Simplify right side
    20,083.50x = 358,154,881.02
  5. Step 5: Solve for x
    x = 358,154,881.02/20,083.50
  6. Step 6: Final answer
    x = 17,833.29

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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.