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Finding the Fourth Proportional to 20,792.26, 31,187.43 and 7,643.68

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Solution

The fourth proportional to 20,792.26, 31,187.43 and 7,643.68 is: 11,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.26 : 31,187.43 = 7,643.68 : x
  2. Step 2: Convert to fraction form
    20,792.26/31,187.43 = 7,643.68/x
  3. Step 3: Cross multiply
    20,792.26x = 31,187.43 × 7,643.68
  4. Step 4: Simplify right side
    20,792.26x = 238,386,734.94
  5. Step 5: Solve for x
    x = 238,386,734.94/20,792.26
  6. Step 6: Final answer
    x = 11,465.17

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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.