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Finding the Fourth Proportional to 10,848.70, 16,273.05 and 9,682.30

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Solution

The fourth proportional to 10,848.70, 16,273.05 and 9,682.30 is: 14,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.70 : 16,273.05 = 9,682.30 : x
  2. Step 2: Convert to fraction form
    10,848.70/16,273.05 = 9,682.30/x
  3. Step 3: Cross multiply
    10,848.70x = 16,273.05 × 9,682.30
  4. Step 4: Simplify right side
    10,848.70x = 157,560,552.02
  5. Step 5: Solve for x
    x = 157,560,552.02/10,848.70
  6. Step 6: Final answer
    x = 14,523.45

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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.