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Finding the Fourth Proportional to 22,994.83, 34,486.74 and 6,354.49

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Solution

The fourth proportional to 22,994.83, 34,486.74 and 6,354.49 is: 9,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.83 : 34,486.74 = 6,354.49 : x
  2. Step 2: Convert to fraction form
    22,994.83/34,486.74 = 6,354.49/x
  3. Step 3: Cross multiply
    22,994.83x = 34,486.74 × 6,354.49
  4. Step 4: Simplify right side
    22,994.83x = 219,145,644.46
  5. Step 5: Solve for x
    x = 219,145,644.46/22,994.83
  6. Step 6: Final answer
    x = 9,530.21

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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.