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Finding the Fourth Proportional to 12,277.38, 18,415.98 and 4,486.08

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Solution

The fourth proportional to 12,277.38, 18,415.98 and 4,486.08 is: 6,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.38 : 18,415.98 = 4,486.08 : x
  2. Step 2: Convert to fraction form
    12,277.38/18,415.98 = 4,486.08/x
  3. Step 3: Cross multiply
    12,277.38x = 18,415.98 × 4,486.08
  4. Step 4: Simplify right side
    12,277.38x = 82,615,559.56
  5. Step 5: Solve for x
    x = 82,615,559.56/12,277.38
  6. Step 6: Final answer
    x = 6,729.09

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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.