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Finding the Fourth Proportional to 12,828.68, 19,245.36 and 5,903

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Solution

The fourth proportional to 12,828.68, 19,245.36 and 5,903 is: 8,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.68 : 19,245.36 = 5,903 : x
  2. Step 2: Convert to fraction form
    12,828.68/19,245.36 = 5,903/x
  3. Step 3: Cross multiply
    12,828.68x = 19,245.36 × 5,903
  4. Step 4: Simplify right side
    12,828.68x = 113,605,360.08
  5. Step 5: Solve for x
    x = 113,605,360.08/12,828.68
  6. Step 6: Final answer
    x = 8,855.58

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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.