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Finding the Fourth Proportional to 25,659.77, 38,490.74 and 8,129.21

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Solution

The fourth proportional to 25,659.77, 38,490.74 and 8,129.21 is: 12,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,659.77 : 38,490.74 = 8,129.21 : x
  2. Step 2: Convert to fraction form
    25,659.77/38,490.74 = 8,129.21/x
  3. Step 3: Cross multiply
    25,659.77x = 38,490.74 × 8,129.21
  4. Step 4: Simplify right side
    25,659.77x = 312,899,075.42
  5. Step 5: Solve for x
    x = 312,899,075.42/25,659.77
  6. Step 6: Final answer
    x = 12,194.15

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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.