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Finding the Fourth Proportional to 13,900.50, 19,183.14 and 7,613.28

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Solution

The fourth proportional to 13,900.50, 19,183.14 and 7,613.28 is: 10,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.50 : 19,183.14 = 7,613.28 : x
  2. Step 2: Convert to fraction form
    13,900.50/19,183.14 = 7,613.28/x
  3. Step 3: Cross multiply
    13,900.50x = 19,183.14 × 7,613.28
  4. Step 4: Simplify right side
    13,900.50x = 146,046,616.10
  5. Step 5: Solve for x
    x = 146,046,616.10/13,900.50
  6. Step 6: Final answer
    x = 10,506.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.