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Finding the Fourth Proportional to 22,509.46, 33,766.90 and 7,721.02

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Solution

The fourth proportional to 22,509.46, 33,766.90 and 7,721.02 is: 11,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.46 : 33,766.90 = 7,721.02 : x
  2. Step 2: Convert to fraction form
    22,509.46/33,766.90 = 7,721.02/x
  3. Step 3: Cross multiply
    22,509.46x = 33,766.90 × 7,721.02
  4. Step 4: Simplify right side
    22,509.46x = 260,714,910.24
  5. Step 5: Solve for x
    x = 260,714,910.24/22,509.46
  6. Step 6: Final answer
    x = 11,582.46

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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.