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Finding the Fourth Proportional to 17,777.84, 26,682.94 and 9,464.82

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Solution

The fourth proportional to 17,777.84, 26,682.94 and 9,464.82 is: 14,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777.84 : 26,682.94 = 9,464.82 : x
  2. Step 2: Convert to fraction form
    17,777.84/26,682.94 = 9,464.82/x
  3. Step 3: Cross multiply
    17,777.84x = 26,682.94 × 9,464.82
  4. Step 4: Simplify right side
    17,777.84x = 252,549,224.17
  5. Step 5: Solve for x
    x = 252,549,224.17/17,777.84
  6. Step 6: Final answer
    x = 14,205.84

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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.