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Finding the Fourth Proportional to 22,354.51, 33,531.69 and 5,714.53

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Solution

The fourth proportional to 22,354.51, 33,531.69 and 5,714.53 is: 8,571.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,354.51 : 33,531.69 = 5,714.53 : x
  2. Step 2: Convert to fraction form
    22,354.51/33,531.69 = 5,714.53/x
  3. Step 3: Cross multiply
    22,354.51x = 33,531.69 × 5,714.53
  4. Step 4: Simplify right side
    22,354.51x = 191,617,848.46
  5. Step 5: Solve for x
    x = 191,617,848.46/22,354.51
  6. Step 6: Final answer
    x = 8,571.78

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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.