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Finding the Fourth Proportional to 25,122.30, 37,687.29 and 8,250

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Solution

The fourth proportional to 25,122.30, 37,687.29 and 8,250 is: 12,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,122.30 : 37,687.29 = 8,250 : x
  2. Step 2: Convert to fraction form
    25,122.30/37,687.29 = 8,250/x
  3. Step 3: Cross multiply
    25,122.30x = 37,687.29 × 8,250
  4. Step 4: Simplify right side
    25,122.30x = 310,920,142.50
  5. Step 5: Solve for x
    x = 310,920,142.50/25,122.30
  6. Step 6: Final answer
    x = 12,376.26

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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.