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Finding the Fourth Proportional to 12,603.66, 18,906.12 and 3,838.74

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Solution

The fourth proportional to 12,603.66, 18,906.12 and 3,838.74 is: 5,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.66 : 18,906.12 = 3,838.74 : x
  2. Step 2: Convert to fraction form
    12,603.66/18,906.12 = 3,838.74/x
  3. Step 3: Cross multiply
    12,603.66x = 18,906.12 × 3,838.74
  4. Step 4: Simplify right side
    12,603.66x = 72,575,679.09
  5. Step 5: Solve for x
    x = 72,575,679.09/12,603.66
  6. Step 6: Final answer
    x = 5,758.30

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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.