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Finding the Fourth Proportional to 11,662.32, 17,500.80 and 10,915.14

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Solution

The fourth proportional to 11,662.32, 17,500.80 and 10,915.14 is: 16,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.32 : 17,500.80 = 10,915.14 : x
  2. Step 2: Convert to fraction form
    11,662.32/17,500.80 = 10,915.14/x
  3. Step 3: Cross multiply
    11,662.32x = 17,500.80 × 10,915.14
  4. Step 4: Simplify right side
    11,662.32x = 191,023,682.11
  5. Step 5: Solve for x
    x = 191,023,682.11/11,662.32
  6. Step 6: Final answer
    x = 16,379.56

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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.