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Finding the Fourth Proportional to 17,969.76, 24,796.68 and 10,011.83

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Solution

The fourth proportional to 17,969.76, 24,796.68 and 10,011.83 is: 13,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.76 : 24,796.68 = 10,011.83 : x
  2. Step 2: Convert to fraction form
    17,969.76/24,796.68 = 10,011.83/x
  3. Step 3: Cross multiply
    17,969.76x = 24,796.68 × 10,011.83
  4. Step 4: Simplify right side
    17,969.76x = 248,260,020.74
  5. Step 5: Solve for x
    x = 248,260,020.74/17,969.76
  6. Step 6: Final answer
    x = 13,815.43

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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.