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Finding the Fourth Proportional to 26,578.68, 39,868.97 and 9,046.23

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Solution

The fourth proportional to 26,578.68, 39,868.97 and 9,046.23 is: 13,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.68 : 39,868.97 = 9,046.23 : x
  2. Step 2: Convert to fraction form
    26,578.68/39,868.97 = 9,046.23/x
  3. Step 3: Cross multiply
    26,578.68x = 39,868.97 × 9,046.23
  4. Step 4: Simplify right side
    26,578.68x = 360,663,827.25
  5. Step 5: Solve for x
    x = 360,663,827.25/26,578.68
  6. Step 6: Final answer
    x = 13,569.67

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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.