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Finding the Fourth Proportional to 14,933.97, 22,385.31 and 5,570.22

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Solution

The fourth proportional to 14,933.97, 22,385.31 and 5,570.22 is: 8,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933.97 : 22,385.31 = 5,570.22 : x
  2. Step 2: Convert to fraction form
    14,933.97/22,385.31 = 5,570.22/x
  3. Step 3: Cross multiply
    14,933.97x = 22,385.31 × 5,570.22
  4. Step 4: Simplify right side
    14,933.97x = 124,691,101.47
  5. Step 5: Solve for x
    x = 124,691,101.47/14,933.97
  6. Step 6: Final answer
    x = 8,349.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.