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Finding the Fourth Proportional to 12,277.63, 18,416.31 and 4,486.38

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Solution

The fourth proportional to 12,277.63, 18,416.31 and 4,486.38 is: 6,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.63 : 18,416.31 = 4,486.38 : x
  2. Step 2: Convert to fraction form
    12,277.63/18,416.31 = 4,486.38/x
  3. Step 3: Cross multiply
    12,277.63x = 18,416.31 × 4,486.38
  4. Step 4: Simplify right side
    12,277.63x = 82,622,564.86
  5. Step 5: Solve for x
    x = 82,622,564.86/12,277.63
  6. Step 6: Final answer
    x = 6,729.52

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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.