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Finding the Fourth Proportional to 16,117.86, 22,243.62 and 10,731

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Solution

The fourth proportional to 16,117.86, 22,243.62 and 10,731 is: 14,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.86 : 22,243.62 = 10,731 : x
  2. Step 2: Convert to fraction form
    16,117.86/22,243.62 = 10,731/x
  3. Step 3: Cross multiply
    16,117.86x = 22,243.62 × 10,731
  4. Step 4: Simplify right side
    16,117.86x = 238,696,286.22
  5. Step 5: Solve for x
    x = 238,696,286.22/16,117.86
  6. Step 6: Final answer
    x = 14,809.43

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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.