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Finding the Fourth Proportional to 22,812.16, 31,489.68 and 13,861.12

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Solution

The fourth proportional to 22,812.16, 31,489.68 and 13,861.12 is: 19,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.16 : 31,489.68 = 13,861.12 : x
  2. Step 2: Convert to fraction form
    22,812.16/31,489.68 = 13,861.12/x
  3. Step 3: Cross multiply
    22,812.16x = 31,489.68 × 13,861.12
  4. Step 4: Simplify right side
    22,812.16x = 436,482,233.24
  5. Step 5: Solve for x
    x = 436,482,233.24/22,812.16
  6. Step 6: Final answer
    x = 19,133.75

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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.