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Finding the Fourth Proportional to 25,686.36, 38,524.68 and 8,156.34

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Solution

The fourth proportional to 25,686.36, 38,524.68 and 8,156.34 is: 12,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686.36 : 38,524.68 = 8,156.34 : x
  2. Step 2: Convert to fraction form
    25,686.36/38,524.68 = 8,156.34/x
  3. Step 3: Cross multiply
    25,686.36x = 38,524.68 × 8,156.34
  4. Step 4: Simplify right side
    25,686.36x = 314,220,388.47
  5. Step 5: Solve for x
    x = 314,220,388.47/25,686.36
  6. Step 6: Final answer
    x = 12,232.97

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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.