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Finding the Fourth Proportional to 22,887.54, 31,585.10 and 12,816.86

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Solution

The fourth proportional to 22,887.54, 31,585.10 and 12,816.86 is: 17,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887.54 : 31,585.10 = 12,816.86 : x
  2. Step 2: Convert to fraction form
    22,887.54/31,585.10 = 12,816.86/x
  3. Step 3: Cross multiply
    22,887.54x = 31,585.10 × 12,816.86
  4. Step 4: Simplify right side
    22,887.54x = 404,821,582.78
  5. Step 5: Solve for x
    x = 404,821,582.78/22,887.54
  6. Step 6: Final answer
    x = 17,687.42

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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.