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Finding the Fourth Proportional to 25,871.62, 38,581 and 25,635.14

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Solution

The fourth proportional to 25,871.62, 38,581 and 25,635.14 is: 38,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.62 : 38,581 = 25,635.14 : x
  2. Step 2: Convert to fraction form
    25,871.62/38,581 = 25,635.14/x
  3. Step 3: Cross multiply
    25,871.62x = 38,581 × 25,635.14
  4. Step 4: Simplify right side
    25,871.62x = 989,029,336.34
  5. Step 5: Solve for x
    x = 989,029,336.34/25,871.62
  6. Step 6: Final answer
    x = 38,228.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.