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Finding the Fourth Proportional to 12,103.46, 18,151.86 and 8,583.06

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Solution

The fourth proportional to 12,103.46, 18,151.86 and 8,583.06 is: 12,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.46 : 18,151.86 = 8,583.06 : x
  2. Step 2: Convert to fraction form
    12,103.46/18,151.86 = 8,583.06/x
  3. Step 3: Cross multiply
    12,103.46x = 18,151.86 × 8,583.06
  4. Step 4: Simplify right side
    12,103.46x = 155,798,603.75
  5. Step 5: Solve for x
    x = 155,798,603.75/12,103.46
  6. Step 6: Final answer
    x = 12,872.24

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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.