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Finding the Fourth Proportional to 13,195.84, 19,793.56 and 5,300.38

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Solution

The fourth proportional to 13,195.84, 19,793.56 and 5,300.38 is: 7,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.84 : 19,793.56 = 5,300.38 : x
  2. Step 2: Convert to fraction form
    13,195.84/19,793.56 = 5,300.38/x
  3. Step 3: Cross multiply
    13,195.84x = 19,793.56 × 5,300.38
  4. Step 4: Simplify right side
    13,195.84x = 104,913,389.55
  5. Step 5: Solve for x
    x = 104,913,389.55/13,195.84
  6. Step 6: Final answer
    x = 7,950.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.