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Finding the Fourth Proportional to 28,200.62, 42,301.42 and 10,678.70

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Solution

The fourth proportional to 28,200.62, 42,301.42 and 10,678.70 is: 16,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.62 : 42,301.42 = 10,678.70 : x
  2. Step 2: Convert to fraction form
    28,200.62/42,301.42 = 10,678.70/x
  3. Step 3: Cross multiply
    28,200.62x = 42,301.42 × 10,678.70
  4. Step 4: Simplify right side
    28,200.62x = 451,724,173.75
  5. Step 5: Solve for x
    x = 451,724,173.75/28,200.62
  6. Step 6: Final answer
    x = 16,018.24

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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.