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Finding the Fourth Proportional to 16,141.86, 22,286.21 and 14,460.30

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Solution

The fourth proportional to 16,141.86, 22,286.21 and 14,460.30 is: 19,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.86 : 22,286.21 = 14,460.30 : x
  2. Step 2: Convert to fraction form
    16,141.86/22,286.21 = 14,460.30/x
  3. Step 3: Cross multiply
    16,141.86x = 22,286.21 × 14,460.30
  4. Step 4: Simplify right side
    16,141.86x = 322,265,210.16
  5. Step 5: Solve for x
    x = 322,265,210.16/16,141.86
  6. Step 6: Final answer
    x = 19,964.56

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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.