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Finding the Fourth Proportional to 22,844.84, 31,523.85 and 12,771.95

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Solution

The fourth proportional to 22,844.84, 31,523.85 and 12,771.95 is: 17,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,844.84 : 31,523.85 = 12,771.95 : x
  2. Step 2: Convert to fraction form
    22,844.84/31,523.85 = 12,771.95/x
  3. Step 3: Cross multiply
    22,844.84x = 31,523.85 × 12,771.95
  4. Step 4: Simplify right side
    22,844.84x = 402,620,878.39
  5. Step 5: Solve for x
    x = 402,620,878.39/22,844.84
  6. Step 6: Final answer
    x = 17,624.15

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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.