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Finding the Fourth Proportional to 26,056.39, 39,086.40 and 10,474

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Solution

The fourth proportional to 26,056.39, 39,086.40 and 10,474 is: 15,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,056.39 : 39,086.40 = 10,474 : x
  2. Step 2: Convert to fraction form
    26,056.39/39,086.40 = 10,474/x
  3. Step 3: Cross multiply
    26,056.39x = 39,086.40 × 10,474
  4. Step 4: Simplify right side
    26,056.39x = 409,390,953.60
  5. Step 5: Solve for x
    x = 409,390,953.60/26,056.39
  6. Step 6: Final answer
    x = 15,711.73

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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.