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Finding the Fourth Proportional to 14,190.69, 21,299.16 and 7,175.68

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Solution

The fourth proportional to 14,190.69, 21,299.16 and 7,175.68 is: 10,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190.69 : 21,299.16 = 7,175.68 : x
  2. Step 2: Convert to fraction form
    14,190.69/21,299.16 = 7,175.68/x
  3. Step 3: Cross multiply
    14,190.69x = 21,299.16 × 7,175.68
  4. Step 4: Simplify right side
    14,190.69x = 152,835,920.55
  5. Step 5: Solve for x
    x = 152,835,920.55/14,190.69
  6. Step 6: Final answer
    x = 10,770.16

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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.