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Finding the Fourth Proportional to 13,113.50, 18,098.24 and 7,450.38

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Solution

The fourth proportional to 13,113.50, 18,098.24 and 7,450.38 is: 10,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.50 : 18,098.24 = 7,450.38 : x
  2. Step 2: Convert to fraction form
    13,113.50/18,098.24 = 7,450.38/x
  3. Step 3: Cross multiply
    13,113.50x = 18,098.24 × 7,450.38
  4. Step 4: Simplify right side
    13,113.50x = 134,838,728.08
  5. Step 5: Solve for x
    x = 134,838,728.08/13,113.50
  6. Step 6: Final answer
    x = 10,282.44

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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.