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Finding the Fourth Proportional to 13,193.38, 18,206.93 and 7,225.61

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Solution

The fourth proportional to 13,193.38, 18,206.93 and 7,225.61 is: 9,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.38 : 18,206.93 = 7,225.61 : x
  2. Step 2: Convert to fraction form
    13,193.38/18,206.93 = 7,225.61/x
  3. Step 3: Cross multiply
    13,193.38x = 18,206.93 × 7,225.61
  4. Step 4: Simplify right side
    13,193.38x = 131,556,061.86
  5. Step 5: Solve for x
    x = 131,556,061.86/13,193.38
  6. Step 6: Final answer
    x = 9,971.37

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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.