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Finding the Fourth Proportional to 12,418.82, 18,646.45 and 7,758.69

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Solution

The fourth proportional to 12,418.82, 18,646.45 and 7,758.69 is: 11,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.82 : 18,646.45 = 7,758.69 : x
  2. Step 2: Convert to fraction form
    12,418.82/18,646.45 = 7,758.69/x
  3. Step 3: Cross multiply
    12,418.82x = 18,646.45 × 7,758.69
  4. Step 4: Simplify right side
    12,418.82x = 144,672,025.15
  5. Step 5: Solve for x
    x = 144,672,025.15/12,418.82
  6. Step 6: Final answer
    x = 11,649.42

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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.