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Finding the Fourth Proportional to 14,611.62, 21,910.94 and 9,064.74

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Solution

The fourth proportional to 14,611.62, 21,910.94 and 9,064.74 is: 13,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.62 : 21,910.94 = 9,064.74 : x
  2. Step 2: Convert to fraction form
    14,611.62/21,910.94 = 9,064.74/x
  3. Step 3: Cross multiply
    14,611.62x = 21,910.94 × 9,064.74
  4. Step 4: Simplify right side
    14,611.62x = 198,616,974.26
  5. Step 5: Solve for x
    x = 198,616,974.26/14,611.62
  6. Step 6: Final answer
    x = 13,593.08

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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.