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Finding the Fourth Proportional to 26,322.82, 39,486.74 and 9,683.17

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Solution

The fourth proportional to 26,322.82, 39,486.74 and 9,683.17 is: 14,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,322.82 : 39,486.74 = 9,683.17 : x
  2. Step 2: Convert to fraction form
    26,322.82/39,486.74 = 9,683.17/x
  3. Step 3: Cross multiply
    26,322.82x = 39,486.74 × 9,683.17
  4. Step 4: Simplify right side
    26,322.82x = 382,356,834.56
  5. Step 5: Solve for x
    x = 382,356,834.56/26,322.82
  6. Step 6: Final answer
    x = 14,525.68

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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.