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Finding the Fourth Proportional to 17,141.43, 25,714.22 and 6,045.85

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Solution

The fourth proportional to 17,141.43, 25,714.22 and 6,045.85 is: 9,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,141.43 : 25,714.22 = 6,045.85 : x
  2. Step 2: Convert to fraction form
    17,141.43/25,714.22 = 6,045.85/x
  3. Step 3: Cross multiply
    17,141.43x = 25,714.22 × 6,045.85
  4. Step 4: Simplify right side
    17,141.43x = 155,464,267.82
  5. Step 5: Solve for x
    x = 155,464,267.82/17,141.43
  6. Step 6: Final answer
    x = 9,069.50

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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.