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Finding the Fourth Proportional to 16,283, 22,471.76 and 9,996.60

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Solution

The fourth proportional to 16,283, 22,471.76 and 9,996.60 is: 13,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283 : 22,471.76 = 9,996.60 : x
  2. Step 2: Convert to fraction form
    16,283/22,471.76 = 9,996.60/x
  3. Step 3: Cross multiply
    16,283x = 22,471.76 × 9,996.60
  4. Step 4: Simplify right side
    16,283x = 224,641,196.02
  5. Step 5: Solve for x
    x = 224,641,196.02/16,283
  6. Step 6: Final answer
    x = 13,796.06

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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.