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Finding the Fourth Proportional to 22,820.82, 31,492.73 and 12,884.82

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Solution

The fourth proportional to 22,820.82, 31,492.73 and 12,884.82 is: 17,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,820.82 : 31,492.73 = 12,884.82 : x
  2. Step 2: Convert to fraction form
    22,820.82/31,492.73 = 12,884.82/x
  3. Step 3: Cross multiply
    22,820.82x = 31,492.73 × 12,884.82
  4. Step 4: Simplify right side
    22,820.82x = 405,778,092.93
  5. Step 5: Solve for x
    x = 405,778,092.93/22,820.82
  6. Step 6: Final answer
    x = 17,781.05

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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.