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Finding the Fourth Proportional to 25,797.35, 38,702.06 and 8,027.13

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Solution

The fourth proportional to 25,797.35, 38,702.06 and 8,027.13 is: 12,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.35 : 38,702.06 = 8,027.13 : x
  2. Step 2: Convert to fraction form
    25,797.35/38,702.06 = 8,027.13/x
  3. Step 3: Cross multiply
    25,797.35x = 38,702.06 × 8,027.13
  4. Step 4: Simplify right side
    25,797.35x = 310,666,601.99
  5. Step 5: Solve for x
    x = 310,666,601.99/25,797.35
  6. Step 6: Final answer
    x = 12,042.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.