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Finding the Fourth Proportional to 17,293.14, 25,874.08 and 10,702.98

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Solution

The fourth proportional to 17,293.14, 25,874.08 and 10,702.98 is: 16,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,293.14 : 25,874.08 = 10,702.98 : x
  2. Step 2: Convert to fraction form
    17,293.14/25,874.08 = 10,702.98/x
  3. Step 3: Cross multiply
    17,293.14x = 25,874.08 × 10,702.98
  4. Step 4: Simplify right side
    17,293.14x = 276,929,734.00
  5. Step 5: Solve for x
    x = 276,929,734.00/17,293.14
  6. Step 6: Final answer
    x = 16,013.85

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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.