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Finding the Fourth Proportional to 15,172.06, 22,768.41 and 9,310.78

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Solution

The fourth proportional to 15,172.06, 22,768.41 and 9,310.78 is: 13,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,172.06 : 22,768.41 = 9,310.78 : x
  2. Step 2: Convert to fraction form
    15,172.06/22,768.41 = 9,310.78/x
  3. Step 3: Cross multiply
    15,172.06x = 22,768.41 × 9,310.78
  4. Step 4: Simplify right side
    15,172.06x = 211,991,656.46
  5. Step 5: Solve for x
    x = 211,991,656.46/15,172.06
  6. Step 6: Final answer
    x = 13,972.50

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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.