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Finding the Fourth Proportional to 22,233.98, 33,362.46 and 9,762.77

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Solution

The fourth proportional to 22,233.98, 33,362.46 and 9,762.77 is: 14,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,233.98 : 33,362.46 = 9,762.77 : x
  2. Step 2: Convert to fraction form
    22,233.98/33,362.46 = 9,762.77/x
  3. Step 3: Cross multiply
    22,233.98x = 33,362.46 × 9,762.77
  4. Step 4: Simplify right side
    22,233.98x = 325,709,856.80
  5. Step 5: Solve for x
    x = 325,709,856.80/22,233.98
  6. Step 6: Final answer
    x = 14,649.20

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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.