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Finding the Fourth Proportional to 22,083.04, 33,126.16 and 8,232

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Solution

The fourth proportional to 22,083.04, 33,126.16 and 8,232 is: 12,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.04 : 33,126.16 = 8,232 : x
  2. Step 2: Convert to fraction form
    22,083.04/33,126.16 = 8,232/x
  3. Step 3: Cross multiply
    22,083.04x = 33,126.16 × 8,232
  4. Step 4: Simplify right side
    22,083.04x = 272,694,549.12
  5. Step 5: Solve for x
    x = 272,694,549.12/22,083.04
  6. Step 6: Final answer
    x = 12,348.60

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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.