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Finding the Fourth Proportional to 31,021.84, 42,808.89 and 16,874.74

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Solution

The fourth proportional to 31,021.84, 42,808.89 and 16,874.74 is: 23,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.84 : 42,808.89 = 16,874.74 : x
  2. Step 2: Convert to fraction form
    31,021.84/42,808.89 = 16,874.74/x
  3. Step 3: Cross multiply
    31,021.84x = 42,808.89 × 16,874.74
  4. Step 4: Simplify right side
    31,021.84x = 722,388,888.44
  5. Step 5: Solve for x
    x = 722,388,888.44/31,021.84
  6. Step 6: Final answer
    x = 23,286.46

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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.