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Finding the Fourth Proportional to 17,778.84, 26,684.43 and 9,465.81

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Solution

The fourth proportional to 17,778.84, 26,684.43 and 9,465.81 is: 14,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.84 : 26,684.43 = 9,465.81 : x
  2. Step 2: Convert to fraction form
    17,778.84/26,684.43 = 9,465.81/x
  3. Step 3: Cross multiply
    17,778.84x = 26,684.43 × 9,465.81
  4. Step 4: Simplify right side
    17,778.84x = 252,589,744.34
  5. Step 5: Solve for x
    x = 252,589,744.34/17,778.84
  6. Step 6: Final answer
    x = 14,207.32

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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.