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Finding the Fourth Proportional to 17,857.77, 24,638.83 and 10,684.79

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Solution

The fourth proportional to 17,857.77, 24,638.83 and 10,684.79 is: 14,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.77 : 24,638.83 = 10,684.79 : x
  2. Step 2: Convert to fraction form
    17,857.77/24,638.83 = 10,684.79/x
  3. Step 3: Cross multiply
    17,857.77x = 24,638.83 × 10,684.79
  4. Step 4: Simplify right side
    17,857.77x = 263,260,657.69
  5. Step 5: Solve for x
    x = 263,260,657.69/17,857.77
  6. Step 6: Final answer
    x = 14,742.08

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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.