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Finding the Fourth Proportional to 16,141.98, 24,189.27 and 11,470.98

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Solution

The fourth proportional to 16,141.98, 24,189.27 and 11,470.98 is: 17,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.98 : 24,189.27 = 11,470.98 : x
  2. Step 2: Convert to fraction form
    16,141.98/24,189.27 = 11,470.98/x
  3. Step 3: Cross multiply
    16,141.98x = 24,189.27 × 11,470.98
  4. Step 4: Simplify right side
    16,141.98x = 277,474,632.38
  5. Step 5: Solve for x
    x = 277,474,632.38/16,141.98
  6. Step 6: Final answer
    x = 17,189.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.