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Finding the Fourth Proportional to 25,861.70, 35,682.85 and 15,786.47

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Solution

The fourth proportional to 25,861.70, 35,682.85 and 15,786.47 is: 21,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861.70 : 35,682.85 = 15,786.47 : x
  2. Step 2: Convert to fraction form
    25,861.70/35,682.85 = 15,786.47/x
  3. Step 3: Cross multiply
    25,861.70x = 35,682.85 × 15,786.47
  4. Step 4: Simplify right side
    25,861.70x = 563,306,241.04
  5. Step 5: Solve for x
    x = 563,306,241.04/25,861.70
  6. Step 6: Final answer
    x = 21,781.49

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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.