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Finding the Fourth Proportional to 28,147.93, 42,227 and 13,356.70

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Solution

The fourth proportional to 28,147.93, 42,227 and 13,356.70 is: 20,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,147.93 : 42,227 = 13,356.70 : x
  2. Step 2: Convert to fraction form
    28,147.93/42,227 = 13,356.70/x
  3. Step 3: Cross multiply
    28,147.93x = 42,227 × 13,356.70
  4. Step 4: Simplify right side
    28,147.93x = 564,013,370.90
  5. Step 5: Solve for x
    x = 564,013,370.90/28,147.93
  6. Step 6: Final answer
    x = 20,037.47

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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.