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Finding the Fourth Proportional to 25,586.82, 35,299.80 and 16,022.76

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Solution

The fourth proportional to 25,586.82, 35,299.80 and 16,022.76 is: 22,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.82 : 35,299.80 = 16,022.76 : x
  2. Step 2: Convert to fraction form
    25,586.82/35,299.80 = 16,022.76/x
  3. Step 3: Cross multiply
    25,586.82x = 35,299.80 × 16,022.76
  4. Step 4: Simplify right side
    25,586.82x = 565,600,223.45
  5. Step 5: Solve for x
    x = 565,600,223.45/25,586.82
  6. Step 6: Final answer
    x = 22,105.14

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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.