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Finding the Fourth Proportional to 15,224.66, 22,838.82 and 5,361.90

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Solution

The fourth proportional to 15,224.66, 22,838.82 and 5,361.90 is: 8,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.66 : 22,838.82 = 5,361.90 : x
  2. Step 2: Convert to fraction form
    15,224.66/22,838.82 = 5,361.90/x
  3. Step 3: Cross multiply
    15,224.66x = 22,838.82 × 5,361.90
  4. Step 4: Simplify right side
    15,224.66x = 122,459,468.96
  5. Step 5: Solve for x
    x = 122,459,468.96/15,224.66
  6. Step 6: Final answer
    x = 8,043.49

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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.