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Finding the Fourth Proportional to 10,217.12, 15,299.64 and 9,361.76

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Solution

The fourth proportional to 10,217.12, 15,299.64 and 9,361.76 is: 14,018.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.12 : 15,299.64 = 9,361.76 : x
  2. Step 2: Convert to fraction form
    10,217.12/15,299.64 = 9,361.76/x
  3. Step 3: Cross multiply
    10,217.12x = 15,299.64 × 9,361.76
  4. Step 4: Simplify right side
    10,217.12x = 143,231,557.77
  5. Step 5: Solve for x
    x = 143,231,557.77/10,217.12
  6. Step 6: Final answer
    x = 14,018.78

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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.