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Finding the Fourth Proportional to 17,643.96, 26,461.32 and 6,969.60

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Solution

The fourth proportional to 17,643.96, 26,461.32 and 6,969.60 is: 10,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.96 : 26,461.32 = 6,969.60 : x
  2. Step 2: Convert to fraction form
    17,643.96/26,461.32 = 6,969.60/x
  3. Step 3: Cross multiply
    17,643.96x = 26,461.32 × 6,969.60
  4. Step 4: Simplify right side
    17,643.96x = 184,424,815.87
  5. Step 5: Solve for x
    x = 184,424,815.87/17,643.96
  6. Step 6: Final answer
    x = 10,452.58

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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.