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Finding the Fourth Proportional to 15,105.12, 22,624.83 and 7,297.50

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Solution

The fourth proportional to 15,105.12, 22,624.83 and 7,297.50 is: 10,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.12 : 22,624.83 = 7,297.50 : x
  2. Step 2: Convert to fraction form
    15,105.12/22,624.83 = 7,297.50/x
  3. Step 3: Cross multiply
    15,105.12x = 22,624.83 × 7,297.50
  4. Step 4: Simplify right side
    15,105.12x = 165,104,696.93
  5. Step 5: Solve for x
    x = 165,104,696.93/15,105.12
  6. Step 6: Final answer
    x = 10,930.38

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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.