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Finding the Fourth Proportional to 17,569.75, 26,354.64 and 7,181.50

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Solution

The fourth proportional to 17,569.75, 26,354.64 and 7,181.50 is: 10,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.75 : 26,354.64 = 7,181.50 : x
  2. Step 2: Convert to fraction form
    17,569.75/26,354.64 = 7,181.50/x
  3. Step 3: Cross multiply
    17,569.75x = 26,354.64 × 7,181.50
  4. Step 4: Simplify right side
    17,569.75x = 189,265,847.16
  5. Step 5: Solve for x
    x = 189,265,847.16/17,569.75
  6. Step 6: Final answer
    x = 10,772.26

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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.