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Finding the Fourth Proportional to 14,833.98, 22,262.31 and 10,939.50

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Solution

The fourth proportional to 14,833.98, 22,262.31 and 10,939.50 is: 16,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.98 : 22,262.31 = 10,939.50 : x
  2. Step 2: Convert to fraction form
    14,833.98/22,262.31 = 10,939.50/x
  3. Step 3: Cross multiply
    14,833.98x = 22,262.31 × 10,939.50
  4. Step 4: Simplify right side
    14,833.98x = 243,538,540.25
  5. Step 5: Solve for x
    x = 243,538,540.25/14,833.98
  6. Step 6: Final answer
    x = 16,417.61

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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.