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Finding the Fourth Proportional to 12,105.16, 18,158.66 and 4,706.44

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Solution

The fourth proportional to 12,105.16, 18,158.66 and 4,706.44 is: 7,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.16 : 18,158.66 = 4,706.44 : x
  2. Step 2: Convert to fraction form
    12,105.16/18,158.66 = 4,706.44/x
  3. Step 3: Cross multiply
    12,105.16x = 18,158.66 × 4,706.44
  4. Step 4: Simplify right side
    12,105.16x = 85,462,643.77
  5. Step 5: Solve for x
    x = 85,462,643.77/12,105.16
  6. Step 6: Final answer
    x = 7,060.02

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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.