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Finding the Fourth Proportional to 15,493.78, 21,380.83 and 8,420.05

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Solution

The fourth proportional to 15,493.78, 21,380.83 and 8,420.05 is: 11,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.78 : 21,380.83 = 8,420.05 : x
  2. Step 2: Convert to fraction form
    15,493.78/21,380.83 = 8,420.05/x
  3. Step 3: Cross multiply
    15,493.78x = 21,380.83 × 8,420.05
  4. Step 4: Simplify right side
    15,493.78x = 180,027,657.64
  5. Step 5: Solve for x
    x = 180,027,657.64/15,493.78
  6. Step 6: Final answer
    x = 11,619.35

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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.