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Finding the Fourth Proportional to 15,022.50, 22,511.83 and 8,450.52

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Solution

The fourth proportional to 15,022.50, 22,511.83 and 8,450.52 is: 12,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,022.50 : 22,511.83 = 8,450.52 : x
  2. Step 2: Convert to fraction form
    15,022.50/22,511.83 = 8,450.52/x
  3. Step 3: Cross multiply
    15,022.50x = 22,511.83 × 8,450.52
  4. Step 4: Simplify right side
    15,022.50x = 190,236,669.65
  5. Step 5: Solve for x
    x = 190,236,669.65/15,022.50
  6. Step 6: Final answer
    x = 12,663.45

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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.