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Finding the Fourth Proportional to 14,757.10, 22,137.82 and 4,894.20

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Solution

The fourth proportional to 14,757.10, 22,137.82 and 4,894.20 is: 7,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.10 : 22,137.82 = 4,894.20 : x
  2. Step 2: Convert to fraction form
    14,757.10/22,137.82 = 4,894.20/x
  3. Step 3: Cross multiply
    14,757.10x = 22,137.82 × 4,894.20
  4. Step 4: Simplify right side
    14,757.10x = 108,346,918.64
  5. Step 5: Solve for x
    x = 108,346,918.64/14,757.10
  6. Step 6: Final answer
    x = 7,342.02

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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.