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Finding the Fourth Proportional to 22,013.02, 33,019.50 and 8,862.30

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Solution

The fourth proportional to 22,013.02, 33,019.50 and 8,862.30 is: 13,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,013.02 : 33,019.50 = 8,862.30 : x
  2. Step 2: Convert to fraction form
    22,013.02/33,019.50 = 8,862.30/x
  3. Step 3: Cross multiply
    22,013.02x = 33,019.50 × 8,862.30
  4. Step 4: Simplify right side
    22,013.02x = 292,628,714.85
  5. Step 5: Solve for x
    x = 292,628,714.85/22,013.02
  6. Step 6: Final answer
    x = 13,293.44

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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.