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Finding the Fourth Proportional to 12,225.87, 18,342.14 and 5,206.23

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Solution

The fourth proportional to 12,225.87, 18,342.14 and 5,206.23 is: 7,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.87 : 18,342.14 = 5,206.23 : x
  2. Step 2: Convert to fraction form
    12,225.87/18,342.14 = 5,206.23/x
  3. Step 3: Cross multiply
    12,225.87x = 18,342.14 × 5,206.23
  4. Step 4: Simplify right side
    12,225.87x = 95,493,373.50
  5. Step 5: Solve for x
    x = 95,493,373.50/12,225.87
  6. Step 6: Final answer
    x = 7,810.76

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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.