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Finding the Fourth Proportional to 10,999.53, 15,181.83 and 9,228.06

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Solution

The fourth proportional to 10,999.53, 15,181.83 and 9,228.06 is: 12,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.53 : 15,181.83 = 9,228.06 : x
  2. Step 2: Convert to fraction form
    10,999.53/15,181.83 = 9,228.06/x
  3. Step 3: Cross multiply
    10,999.53x = 15,181.83 × 9,228.06
  4. Step 4: Simplify right side
    10,999.53x = 140,098,838.15
  5. Step 5: Solve for x
    x = 140,098,838.15/10,999.53
  6. Step 6: Final answer
    x = 12,736.80

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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.