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Finding the Fourth Proportional to 22,817.82, 31,649.69 and 22,210.93

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Solution

The fourth proportional to 22,817.82, 31,649.69 and 22,210.93 is: 30,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.82 : 31,649.69 = 22,210.93 : x
  2. Step 2: Convert to fraction form
    22,817.82/31,649.69 = 22,210.93/x
  3. Step 3: Cross multiply
    22,817.82x = 31,649.69 × 22,210.93
  4. Step 4: Simplify right side
    22,817.82x = 702,969,144.20
  5. Step 5: Solve for x
    x = 702,969,144.20/22,817.82
  6. Step 6: Final answer
    x = 30,807.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.