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Finding the Fourth Proportional to 10,959.82, 16,439.73 and 10,172.50

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Solution

The fourth proportional to 10,959.82, 16,439.73 and 10,172.50 is: 15,258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.82 : 16,439.73 = 10,172.50 : x
  2. Step 2: Convert to fraction form
    10,959.82/16,439.73 = 10,172.50/x
  3. Step 3: Cross multiply
    10,959.82x = 16,439.73 × 10,172.50
  4. Step 4: Simplify right side
    10,959.82x = 167,233,153.43
  5. Step 5: Solve for x
    x = 167,233,153.43/10,959.82
  6. Step 6: Final answer
    x = 15,258.75

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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.