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Finding the Fourth Proportional to 13,737.02, 18,964.12 and 8,706.38

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Solution

The fourth proportional to 13,737.02, 18,964.12 and 8,706.38 is: 12,019.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.02 : 18,964.12 = 8,706.38 : x
  2. Step 2: Convert to fraction form
    13,737.02/18,964.12 = 8,706.38/x
  3. Step 3: Cross multiply
    13,737.02x = 18,964.12 × 8,706.38
  4. Step 4: Simplify right side
    13,737.02x = 165,108,835.09
  5. Step 5: Solve for x
    x = 165,108,835.09/13,737.02
  6. Step 6: Final answer
    x = 12,019.26

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Why These Related Problems?

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