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Finding the Fourth Proportional to 16,664.25, 22,996.95 and 9,950.47

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Solution

The fourth proportional to 16,664.25, 22,996.95 and 9,950.47 is: 13,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,664.25 : 22,996.95 = 9,950.47 : x
  2. Step 2: Convert to fraction form
    16,664.25/22,996.95 = 9,950.47/x
  3. Step 3: Cross multiply
    16,664.25x = 22,996.95 × 9,950.47
  4. Step 4: Simplify right side
    16,664.25x = 228,830,296.33
  5. Step 5: Solve for x
    x = 228,830,296.33/16,664.25
  6. Step 6: Final answer
    x = 13,731.81

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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.