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Finding the Fourth Proportional to 15,056.78, 20,778.34 and 8,342.84

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Solution

The fourth proportional to 15,056.78, 20,778.34 and 8,342.84 is: 11,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,056.78 : 20,778.34 = 8,342.84 : x
  2. Step 2: Convert to fraction form
    15,056.78/20,778.34 = 8,342.84/x
  3. Step 3: Cross multiply
    15,056.78x = 20,778.34 × 8,342.84
  4. Step 4: Simplify right side
    15,056.78x = 173,350,366.09
  5. Step 5: Solve for x
    x = 173,350,366.09/15,056.78
  6. Step 6: Final answer
    x = 11,513.11

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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.