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Finding the Fourth Proportional to 15,852.08, 21,876 and 8,778.56

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Solution

The fourth proportional to 15,852.08, 21,876 and 8,778.56 is: 12,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.08 : 21,876 = 8,778.56 : x
  2. Step 2: Convert to fraction form
    15,852.08/21,876 = 8,778.56/x
  3. Step 3: Cross multiply
    15,852.08x = 21,876 × 8,778.56
  4. Step 4: Simplify right side
    15,852.08x = 192,039,778.56
  5. Step 5: Solve for x
    x = 192,039,778.56/15,852.08
  6. Step 6: Final answer
    x = 12,114.48

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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.