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Finding the Fourth Proportional to 17,776.50, 26,664.75 and 5,464.50

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Solution

The fourth proportional to 17,776.50, 26,664.75 and 5,464.50 is: 8,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.50 : 26,664.75 = 5,464.50 : x
  2. Step 2: Convert to fraction form
    17,776.50/26,664.75 = 5,464.50/x
  3. Step 3: Cross multiply
    17,776.50x = 26,664.75 × 5,464.50
  4. Step 4: Simplify right side
    17,776.50x = 145,709,526.38
  5. Step 5: Solve for x
    x = 145,709,526.38/17,776.50
  6. Step 6: Final answer
    x = 8,196.75

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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.