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Finding the Fourth Proportional to 15,975.77, 23,959.73 and 7,086.15

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Solution

The fourth proportional to 15,975.77, 23,959.73 and 7,086.15 is: 10,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,975.77 : 23,959.73 = 7,086.15 : x
  2. Step 2: Convert to fraction form
    15,975.77/23,959.73 = 7,086.15/x
  3. Step 3: Cross multiply
    15,975.77x = 23,959.73 × 7,086.15
  4. Step 4: Simplify right side
    15,975.77x = 169,782,258.45
  5. Step 5: Solve for x
    x = 169,782,258.45/15,975.77
  6. Step 6: Final answer
    x = 10,627.49

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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.