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Finding the Fourth Proportional to 22,824, 31,497.81 and 12,752.88

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Solution

The fourth proportional to 22,824, 31,497.81 and 12,752.88 is: 17,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824 : 31,497.81 = 12,752.88 : x
  2. Step 2: Convert to fraction form
    22,824/31,497.81 = 12,752.88/x
  3. Step 3: Cross multiply
    22,824x = 31,497.81 × 12,752.88
  4. Step 4: Simplify right side
    22,824x = 401,687,791.19
  5. Step 5: Solve for x
    x = 401,687,791.19/22,824
  6. Step 6: Final answer
    x = 17,599.36

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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.