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Finding the Fourth Proportional to 25,783.62, 38,677.86 and 8,249.28

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Solution

The fourth proportional to 25,783.62, 38,677.86 and 8,249.28 is: 12,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.62 : 38,677.86 = 8,249.28 : x
  2. Step 2: Convert to fraction form
    25,783.62/38,677.86 = 8,249.28/x
  3. Step 3: Cross multiply
    25,783.62x = 38,677.86 × 8,249.28
  4. Step 4: Simplify right side
    25,783.62x = 319,064,496.94
  5. Step 5: Solve for x
    x = 319,064,496.94/25,783.62
  6. Step 6: Final answer
    x = 12,374.70

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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.