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Finding the Fourth Proportional to 20,095.12, 27,737.04 and 12,136

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Solution

The fourth proportional to 20,095.12, 27,737.04 and 12,136 is: 16,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.12 : 27,737.04 = 12,136 : x
  2. Step 2: Convert to fraction form
    20,095.12/27,737.04 = 12,136/x
  3. Step 3: Cross multiply
    20,095.12x = 27,737.04 × 12,136
  4. Step 4: Simplify right side
    20,095.12x = 336,616,717.44
  5. Step 5: Solve for x
    x = 336,616,717.44/20,095.12
  6. Step 6: Final answer
    x = 16,751.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.