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Finding the Fourth Proportional to 13,905.15, 20,851.49 and 8,285.47

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Solution

The fourth proportional to 13,905.15, 20,851.49 and 8,285.47 is: 12,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.15 : 20,851.49 = 8,285.47 : x
  2. Step 2: Convert to fraction form
    13,905.15/20,851.49 = 8,285.47/x
  3. Step 3: Cross multiply
    13,905.15x = 20,851.49 × 8,285.47
  4. Step 4: Simplify right side
    13,905.15x = 172,764,408.12
  5. Step 5: Solve for x
    x = 172,764,408.12/13,905.15
  6. Step 6: Final answer
    x = 12,424.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.