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Finding the Fourth Proportional to 28,176.86, 42,286.71 and 10,424.31

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Solution

The fourth proportional to 28,176.86, 42,286.71 and 10,424.31 is: 15,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,176.86 : 42,286.71 = 10,424.31 : x
  2. Step 2: Convert to fraction form
    28,176.86/42,286.71 = 10,424.31/x
  3. Step 3: Cross multiply
    28,176.86x = 42,286.71 × 10,424.31
  4. Step 4: Simplify right side
    28,176.86x = 440,809,773.92
  5. Step 5: Solve for x
    x = 440,809,773.92/28,176.86
  6. Step 6: Final answer
    x = 15,644.39

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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.