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Finding the Fourth Proportional to 15,516.25, 21,399.96 and 10,138.25

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Solution

The fourth proportional to 15,516.25, 21,399.96 and 10,138.25 is: 13,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,516.25 : 21,399.96 = 10,138.25 : x
  2. Step 2: Convert to fraction form
    15,516.25/21,399.96 = 10,138.25/x
  3. Step 3: Cross multiply
    15,516.25x = 21,399.96 × 10,138.25
  4. Step 4: Simplify right side
    15,516.25x = 216,958,144.47
  5. Step 5: Solve for x
    x = 216,958,144.47/15,516.25
  6. Step 6: Final answer
    x = 13,982.64

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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.