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Finding the Fourth Proportional to 22,417.72, 33,629.02 and 8,384.48

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Solution

The fourth proportional to 22,417.72, 33,629.02 and 8,384.48 is: 12,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,417.72 : 33,629.02 = 8,384.48 : x
  2. Step 2: Convert to fraction form
    22,417.72/33,629.02 = 8,384.48/x
  3. Step 3: Cross multiply
    22,417.72x = 33,629.02 × 8,384.48
  4. Step 4: Simplify right side
    22,417.72x = 281,961,845.61
  5. Step 5: Solve for x
    x = 281,961,845.61/22,417.72
  6. Step 6: Final answer
    x = 12,577.63

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1.5x scale

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.