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Finding the Fourth Proportional to 22,957.86, 31,679.42 and 12,887.41

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Solution

The fourth proportional to 22,957.86, 31,679.42 and 12,887.41 is: 17,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.86 : 31,679.42 = 12,887.41 : x
  2. Step 2: Convert to fraction form
    22,957.86/31,679.42 = 12,887.41/x
  3. Step 3: Cross multiply
    22,957.86x = 31,679.42 × 12,887.41
  4. Step 4: Simplify right side
    22,957.86x = 408,265,674.10
  5. Step 5: Solve for x
    x = 408,265,674.10/22,957.86
  6. Step 6: Final answer
    x = 17,783.26

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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.