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Finding the Fourth Proportional to 28,469.16, 39,287.70 and 16,533

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Solution

The fourth proportional to 28,469.16, 39,287.70 and 16,533 is: 22,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,469.16 : 39,287.70 = 16,533 : x
  2. Step 2: Convert to fraction form
    28,469.16/39,287.70 = 16,533/x
  3. Step 3: Cross multiply
    28,469.16x = 39,287.70 × 16,533
  4. Step 4: Simplify right side
    28,469.16x = 649,543,544.10
  5. Step 5: Solve for x
    x = 649,543,544.10/28,469.16
  6. Step 6: Final answer
    x = 22,815.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.