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Finding the Fourth Proportional to 28,183.88, 42,280.67 and 9,465.71

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Solution

The fourth proportional to 28,183.88, 42,280.67 and 9,465.71 is: 14,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,183.88 : 42,280.67 = 9,465.71 : x
  2. Step 2: Convert to fraction form
    28,183.88/42,280.67 = 9,465.71/x
  3. Step 3: Cross multiply
    28,183.88x = 42,280.67 × 9,465.71
  4. Step 4: Simplify right side
    28,183.88x = 400,216,373.09
  5. Step 5: Solve for x
    x = 400,216,373.09/28,183.88
  6. Step 6: Final answer
    x = 14,200.19

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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.