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Finding the Fourth Proportional to 22,522.84, 31,081.53 and 12,586.84

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Solution

The fourth proportional to 22,522.84, 31,081.53 and 12,586.84 is: 17,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.84 : 31,081.53 = 12,586.84 : x
  2. Step 2: Convert to fraction form
    22,522.84/31,081.53 = 12,586.84/x
  3. Step 3: Cross multiply
    22,522.84x = 31,081.53 × 12,586.84
  4. Step 4: Simplify right side
    22,522.84x = 391,218,245.07
  5. Step 5: Solve for x
    x = 391,218,245.07/22,522.84
  6. Step 6: Final answer
    x = 17,369.85

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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.