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Finding the Fourth Proportional to 28,141.12, 42,202.87 and 9,416.78

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Solution

The fourth proportional to 28,141.12, 42,202.87 and 9,416.78 is: 14,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,141.12 : 42,202.87 = 9,416.78 : x
  2. Step 2: Convert to fraction form
    28,141.12/42,202.87 = 9,416.78/x
  3. Step 3: Cross multiply
    28,141.12x = 42,202.87 × 9,416.78
  4. Step 4: Simplify right side
    28,141.12x = 397,415,237.53
  5. Step 5: Solve for x
    x = 397,415,237.53/28,141.12
  6. Step 6: Final answer
    x = 14,122.22

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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.