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Finding the Fourth Proportional to 26,863.02, 40,284 and 15,772.50

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Solution

The fourth proportional to 26,863.02, 40,284 and 15,772.50 is: 23,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,863.02 : 40,284 = 15,772.50 : x
  2. Step 2: Convert to fraction form
    26,863.02/40,284 = 15,772.50/x
  3. Step 3: Cross multiply
    26,863.02x = 40,284 × 15,772.50
  4. Step 4: Simplify right side
    26,863.02x = 635,379,390
  5. Step 5: Solve for x
    x = 635,379,390/26,863.02
  6. Step 6: Final answer
    x = 23,652.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.