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Finding the Fourth Proportional to 38,476.14, 57,715.86 and 15,107.64

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Solution

The fourth proportional to 38,476.14, 57,715.86 and 15,107.64 is: 22,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.14 : 57,715.86 = 15,107.64 : x
  2. Step 2: Convert to fraction form
    38,476.14/57,715.86 = 15,107.64/x
  3. Step 3: Cross multiply
    38,476.14x = 57,715.86 × 15,107.64
  4. Step 4: Simplify right side
    38,476.14x = 871,950,435.17
  5. Step 5: Solve for x
    x = 871,950,435.17/38,476.14
  6. Step 6: Final answer
    x = 22,662.11

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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.