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Finding the Fourth Proportional to 12,215.54, 18,323.22 and 4,422.50

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Solution

The fourth proportional to 12,215.54, 18,323.22 and 4,422.50 is: 6,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.54 : 18,323.22 = 4,422.50 : x
  2. Step 2: Convert to fraction form
    12,215.54/18,323.22 = 4,422.50/x
  3. Step 3: Cross multiply
    12,215.54x = 18,323.22 × 4,422.50
  4. Step 4: Simplify right side
    12,215.54x = 81,034,440.45
  5. Step 5: Solve for x
    x = 81,034,440.45/12,215.54
  6. Step 6: Final answer
    x = 6,633.72

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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.