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Finding the Fourth Proportional to 14,396.26, 21,578.00 and 8,761.50

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Solution

The fourth proportional to 14,396.26, 21,578.00 and 8,761.50 is: 13,132.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.26 : 21,578.00 = 8,761.50 : x
  2. Step 2: Convert to fraction form
    14,396.26/21,578.00 = 8,761.50/x
  3. Step 3: Cross multiply
    14,396.26x = 21,578.00 × 8,761.50
  4. Step 4: Simplify right side
    14,396.26x = 189,055,603.19
  5. Step 5: Solve for x
    x = 189,055,603.19/14,396.26
  6. Step 6: Final answer
    x = 13,132.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.