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Finding the Fourth Proportional to 10,801.34, 16,173.98 and 9,251.31

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Solution

The fourth proportional to 10,801.34, 16,173.98 and 9,251.31 is: 13,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.34 : 16,173.98 = 9,251.31 : x
  2. Step 2: Convert to fraction form
    10,801.34/16,173.98 = 9,251.31/x
  3. Step 3: Cross multiply
    10,801.34x = 16,173.98 × 9,251.31
  4. Step 4: Simplify right side
    10,801.34x = 149,630,502.91
  5. Step 5: Solve for x
    x = 149,630,502.91/10,801.34
  6. Step 6: Final answer
    x = 13,852.96

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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.