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Finding the Fourth Proportional to 22,884.78, 31,581.06 and 12,813.24

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Solution

The fourth proportional to 22,884.78, 31,581.06 and 12,813.24 is: 17,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.78 : 31,581.06 = 12,813.24 : x
  2. Step 2: Convert to fraction form
    22,884.78/31,581.06 = 12,813.24/x
  3. Step 3: Cross multiply
    22,884.78x = 31,581.06 × 12,813.24
  4. Step 4: Simplify right side
    22,884.78x = 404,655,701.23
  5. Step 5: Solve for x
    x = 404,655,701.23/22,884.78
  6. Step 6: Final answer
    x = 17,682.31

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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.