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Finding the Fourth Proportional to 11,362.80, 15,683.60 and 10,181.84

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Solution

The fourth proportional to 11,362.80, 15,683.60 and 10,181.84 is: 14,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.80 : 15,683.60 = 10,181.84 : x
  2. Step 2: Convert to fraction form
    11,362.80/15,683.60 = 10,181.84/x
  3. Step 3: Cross multiply
    11,362.80x = 15,683.60 × 10,181.84
  4. Step 4: Simplify right side
    11,362.80x = 159,687,905.82
  5. Step 5: Solve for x
    x = 159,687,905.82/11,362.80
  6. Step 6: Final answer
    x = 14,053.57

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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.