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Finding the Fourth Proportional to 17,107.92, 25,655.40 and 6,714

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Solution

The fourth proportional to 17,107.92, 25,655.40 and 6,714 is: 10,068.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.92 : 25,655.40 = 6,714 : x
  2. Step 2: Convert to fraction form
    17,107.92/25,655.40 = 6,714/x
  3. Step 3: Cross multiply
    17,107.92x = 25,655.40 × 6,714
  4. Step 4: Simplify right side
    17,107.92x = 172,250,355.60
  5. Step 5: Solve for x
    x = 172,250,355.60/17,107.92
  6. Step 6: Final answer
    x = 10,068.46

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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.