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Finding the Fourth Proportional to 22,820, 31,492.30 and 12,748.88

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Solution

The fourth proportional to 22,820, 31,492.30 and 12,748.88 is: 17,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820 : 31,492.30 = 12,748.88 : x
  2. Step 2: Convert to fraction form
    22,820/31,492.30 = 12,748.88/x
  3. Step 3: Cross multiply
    22,820x = 31,492.30 × 12,748.88
  4. Step 4: Simplify right side
    22,820x = 401,491,553.62
  5. Step 5: Solve for x
    x = 401,491,553.62/22,820
  6. Step 6: Final answer
    x = 17,593.85

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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.