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Finding the Fourth Proportional to 12,535.48, 18,803.22 and 6,383.80

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Solution

The fourth proportional to 12,535.48, 18,803.22 and 6,383.80 is: 9,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.48 : 18,803.22 = 6,383.80 : x
  2. Step 2: Convert to fraction form
    12,535.48/18,803.22 = 6,383.80/x
  3. Step 3: Cross multiply
    12,535.48x = 18,803.22 × 6,383.80
  4. Step 4: Simplify right side
    12,535.48x = 120,035,995.84
  5. Step 5: Solve for x
    x = 120,035,995.84/12,535.48
  6. Step 6: Final answer
    x = 9,575.70

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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.