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Finding the Fourth Proportional to 17,563.64, 26,355.78 and 6,478.11

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Solution

The fourth proportional to 17,563.64, 26,355.78 and 6,478.11 is: 9,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,563.64 : 26,355.78 = 6,478.11 : x
  2. Step 2: Convert to fraction form
    17,563.64/26,355.78 = 6,478.11/x
  3. Step 3: Cross multiply
    17,563.64x = 26,355.78 × 6,478.11
  4. Step 4: Simplify right side
    17,563.64x = 170,735,641.98
  5. Step 5: Solve for x
    x = 170,735,641.98/17,563.64
  6. Step 6: Final answer
    x = 9,720.97

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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.