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Finding the Fourth Proportional to 25,857.87, 35,685.93 and 15,106.20

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Solution

The fourth proportional to 25,857.87, 35,685.93 and 15,106.20 is: 20,847.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.87 : 35,685.93 = 15,106.20 : x
  2. Step 2: Convert to fraction form
    25,857.87/35,685.93 = 15,106.20/x
  3. Step 3: Cross multiply
    25,857.87x = 35,685.93 × 15,106.20
  4. Step 4: Simplify right side
    25,857.87x = 539,078,795.77
  5. Step 5: Solve for x
    x = 539,078,795.77/25,857.87
  6. Step 6: Final answer
    x = 20,847.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.