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Finding the Fourth Proportional to 21,167.97, 31,745.47 and 14,636.13

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Solution

The fourth proportional to 21,167.97, 31,745.47 and 14,636.13 is: 21,949.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.97 : 31,745.47 = 14,636.13 : x
  2. Step 2: Convert to fraction form
    21,167.97/31,745.47 = 14,636.13/x
  3. Step 3: Cross multiply
    21,167.97x = 31,745.47 × 14,636.13
  4. Step 4: Simplify right side
    21,167.97x = 464,630,697.64
  5. Step 5: Solve for x
    x = 464,630,697.64/21,167.97
  6. Step 6: Final answer
    x = 21,949.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.