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Finding the Fourth Proportional to 19,824, 27,358.20 and 11,443.20

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Solution

The fourth proportional to 19,824, 27,358.20 and 11,443.20 is: 15,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 27,358.20 = 11,443.20 : x
  2. Step 2: Convert to fraction form
    19,824/27,358.20 = 11,443.20/x
  3. Step 3: Cross multiply
    19,824x = 27,358.20 × 11,443.20
  4. Step 4: Simplify right side
    19,824x = 313,065,354.24
  5. Step 5: Solve for x
    x = 313,065,354.24/19,824
  6. Step 6: Final answer
    x = 15,792.24

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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.