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Finding the Fourth Proportional to 22,821.64, 31,492.34 and 12,885

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Solution

The fourth proportional to 22,821.64, 31,492.34 and 12,885 is: 17,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.64 : 31,492.34 = 12,885 : x
  2. Step 2: Convert to fraction form
    22,821.64/31,492.34 = 12,885/x
  3. Step 3: Cross multiply
    22,821.64x = 31,492.34 × 12,885
  4. Step 4: Simplify right side
    22,821.64x = 405,778,800.90
  5. Step 5: Solve for x
    x = 405,778,800.90/22,821.64
  6. Step 6: Final answer
    x = 17,780.44

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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.