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Finding the Fourth Proportional to 17,778.35, 26,666.70 and 6,684.18

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Solution

The fourth proportional to 17,778.35, 26,666.70 and 6,684.18 is: 10,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.35 : 26,666.70 = 6,684.18 : x
  2. Step 2: Convert to fraction form
    17,778.35/26,666.70 = 6,684.18/x
  3. Step 3: Cross multiply
    17,778.35x = 26,666.70 × 6,684.18
  4. Step 4: Simplify right side
    17,778.35x = 178,245,022.81
  5. Step 5: Solve for x
    x = 178,245,022.81/17,778.35
  6. Step 6: Final answer
    x = 10,025.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.