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Finding the Fourth Proportional to 22,887.87, 31,585.86 and 12,816.30

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Solution

The fourth proportional to 22,887.87, 31,585.86 and 12,816.30 is: 17,686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887.87 : 31,585.86 = 12,816.30 : x
  2. Step 2: Convert to fraction form
    22,887.87/31,585.86 = 12,816.30/x
  3. Step 3: Cross multiply
    22,887.87x = 31,585.86 × 12,816.30
  4. Step 4: Simplify right side
    22,887.87x = 404,813,857.52
  5. Step 5: Solve for x
    x = 404,813,857.52/22,887.87
  6. Step 6: Final answer
    x = 17,686.83

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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.