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Finding the Fourth Proportional to 17,045.92, 25,560.22 and 7,804

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Solution

The fourth proportional to 17,045.92, 25,560.22 and 7,804 is: 11,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,045.92 : 25,560.22 = 7,804 : x
  2. Step 2: Convert to fraction form
    17,045.92/25,560.22 = 7,804/x
  3. Step 3: Cross multiply
    17,045.92x = 25,560.22 × 7,804
  4. Step 4: Simplify right side
    17,045.92x = 199,471,956.88
  5. Step 5: Solve for x
    x = 199,471,956.88/17,045.92
  6. Step 6: Final answer
    x = 11,702.04

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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.