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Finding the Fourth Proportional to 28,249.75, 42,380.70 and 9,530.25

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Solution

The fourth proportional to 28,249.75, 42,380.70 and 9,530.25 is: 14,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,249.75 : 42,380.70 = 9,530.25 : x
  2. Step 2: Convert to fraction form
    28,249.75/42,380.70 = 9,530.25/x
  3. Step 3: Cross multiply
    28,249.75x = 42,380.70 × 9,530.25
  4. Step 4: Simplify right side
    28,249.75x = 403,898,666.18
  5. Step 5: Solve for x
    x = 403,898,666.18/28,249.75
  6. Step 6: Final answer
    x = 14,297.42

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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.