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Finding the Fourth Proportional to 17,967.57, 24,796.02 and 10,009.80

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Solution

The fourth proportional to 17,967.57, 24,796.02 and 10,009.80 is: 13,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.57 : 24,796.02 = 10,009.80 : x
  2. Step 2: Convert to fraction form
    17,967.57/24,796.02 = 10,009.80/x
  3. Step 3: Cross multiply
    17,967.57x = 24,796.02 × 10,009.80
  4. Step 4: Simplify right side
    17,967.57x = 248,203,201.00
  5. Step 5: Solve for x
    x = 248,203,201.00/17,967.57
  6. Step 6: Final answer
    x = 13,813.95

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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.