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Finding the Fourth Proportional to 13,913.53, 19,200.78 and 7,626.13

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Solution

The fourth proportional to 13,913.53, 19,200.78 and 7,626.13 is: 10,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.53 : 19,200.78 = 7,626.13 : x
  2. Step 2: Convert to fraction form
    13,913.53/19,200.78 = 7,626.13/x
  3. Step 3: Cross multiply
    13,913.53x = 19,200.78 × 7,626.13
  4. Step 4: Simplify right side
    13,913.53x = 146,427,644.38
  5. Step 5: Solve for x
    x = 146,427,644.38/13,913.53
  6. Step 6: Final answer
    x = 10,524.12

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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.