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Finding the Fourth Proportional to 13,923.90, 19,215.03 and 7,636.38

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Solution

The fourth proportional to 13,923.90, 19,215.03 and 7,636.38 is: 10,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.90 : 19,215.03 = 7,636.38 : x
  2. Step 2: Convert to fraction form
    13,923.90/19,215.03 = 7,636.38/x
  3. Step 3: Cross multiply
    13,923.90x = 19,215.03 × 7,636.38
  4. Step 4: Simplify right side
    13,923.90x = 146,733,270.79
  5. Step 5: Solve for x
    x = 146,733,270.79/13,923.90
  6. Step 6: Final answer
    x = 10,538.23

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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.