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Finding the Fourth Proportional to 22,102.84, 30,505.62 and 14,144.68

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Solution

The fourth proportional to 22,102.84, 30,505.62 and 14,144.68 is: 19,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.84 : 30,505.62 = 14,144.68 : x
  2. Step 2: Convert to fraction form
    22,102.84/30,505.62 = 14,144.68/x
  3. Step 3: Cross multiply
    22,102.84x = 30,505.62 × 14,144.68
  4. Step 4: Simplify right side
    22,102.84x = 431,492,233.10
  5. Step 5: Solve for x
    x = 431,492,233.10/22,102.84
  6. Step 6: Final answer
    x = 19,522.03

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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.