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Finding the Fourth Proportional to 22,835.82, 31,513.65 and 13,404.54

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Solution

The fourth proportional to 22,835.82, 31,513.65 and 13,404.54 is: 18,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.82 : 31,513.65 = 13,404.54 : x
  2. Step 2: Convert to fraction form
    22,835.82/31,513.65 = 13,404.54/x
  3. Step 3: Cross multiply
    22,835.82x = 31,513.65 × 13,404.54
  4. Step 4: Simplify right side
    22,835.82x = 422,425,981.97
  5. Step 5: Solve for x
    x = 422,425,981.97/22,835.82
  6. Step 6: Final answer
    x = 18,498.39

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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.