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Finding the Fourth Proportional to 17,977.80, 24,809.46 and 10,019.96

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Solution

The fourth proportional to 17,977.80, 24,809.46 and 10,019.96 is: 13,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.80 : 24,809.46 = 10,019.96 : x
  2. Step 2: Convert to fraction form
    17,977.80/24,809.46 = 10,019.96/x
  3. Step 3: Cross multiply
    17,977.80x = 24,809.46 × 10,019.96
  4. Step 4: Simplify right side
    17,977.80x = 248,589,796.82
  5. Step 5: Solve for x
    x = 248,589,796.82/17,977.80
  6. Step 6: Final answer
    x = 13,827.60

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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.