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Finding the Fourth Proportional to 22,907.90, 31,628.13 and 17,593.22

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Solution

The fourth proportional to 22,907.90, 31,628.13 and 17,593.22 is: 24,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.90 : 31,628.13 = 17,593.22 : x
  2. Step 2: Convert to fraction form
    22,907.90/31,628.13 = 17,593.22/x
  3. Step 3: Cross multiply
    22,907.90x = 31,628.13 × 17,593.22
  4. Step 4: Simplify right side
    22,907.90x = 556,440,649.28
  5. Step 5: Solve for x
    x = 556,440,649.28/22,907.90
  6. Step 6: Final answer
    x = 24,290.34

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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.