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Finding the Fourth Proportional to 22,770.54, 31,422.51 and 12,698.82

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Solution

The fourth proportional to 22,770.54, 31,422.51 and 12,698.82 is: 17,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770.54 : 31,422.51 = 12,698.82 : x
  2. Step 2: Convert to fraction form
    22,770.54/31,422.51 = 12,698.82/x
  3. Step 3: Cross multiply
    22,770.54x = 31,422.51 × 12,698.82
  4. Step 4: Simplify right side
    22,770.54x = 399,028,798.44
  5. Step 5: Solve for x
    x = 399,028,798.44/22,770.54
  6. Step 6: Final answer
    x = 17,523.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.