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Finding the Fourth Proportional to 28,174.12, 42,257.82 and 7,399.24

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Solution

The fourth proportional to 28,174.12, 42,257.82 and 7,399.24 is: 11,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,174.12 : 42,257.82 = 7,399.24 : x
  2. Step 2: Convert to fraction form
    28,174.12/42,257.82 = 7,399.24/x
  3. Step 3: Cross multiply
    28,174.12x = 42,257.82 × 7,399.24
  4. Step 4: Simplify right side
    28,174.12x = 312,675,752.06
  5. Step 5: Solve for x
    x = 312,675,752.06/28,174.12
  6. Step 6: Final answer
    x = 11,097.98

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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.