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Finding the Fourth Proportional to 22,821.20, 31,492.86 and 12,749

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Solution

The fourth proportional to 22,821.20, 31,492.86 and 12,749 is: 17,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.20 : 31,492.86 = 12,749 : x
  2. Step 2: Convert to fraction form
    22,821.20/31,492.86 = 12,749/x
  3. Step 3: Cross multiply
    22,821.20x = 31,492.86 × 12,749
  4. Step 4: Simplify right side
    22,821.20x = 401,502,472.14
  5. Step 5: Solve for x
    x = 401,502,472.14/22,821.20
  6. Step 6: Final answer
    x = 17,593.40

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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.