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Finding the Fourth Proportional to 21,390.74, 29,518.36 and 11,830

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Solution

The fourth proportional to 21,390.74, 29,518.36 and 11,830 is: 16,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,390.74 : 29,518.36 = 11,830 : x
  2. Step 2: Convert to fraction form
    21,390.74/29,518.36 = 11,830/x
  3. Step 3: Cross multiply
    21,390.74x = 29,518.36 × 11,830
  4. Step 4: Simplify right side
    21,390.74x = 349,202,198.80
  5. Step 5: Solve for x
    x = 349,202,198.80/21,390.74
  6. Step 6: Final answer
    x = 16,324.92

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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.