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Finding the Fourth Proportional to 23,805, 35,712.57 and 7,163.64

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Solution

The fourth proportional to 23,805, 35,712.57 and 7,163.64 is: 10,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805 : 35,712.57 = 7,163.64 : x
  2. Step 2: Convert to fraction form
    23,805/35,712.57 = 7,163.64/x
  3. Step 3: Cross multiply
    23,805x = 35,712.57 × 7,163.64
  4. Step 4: Simplify right side
    23,805x = 255,831,994.95
  5. Step 5: Solve for x
    x = 255,831,994.95/23,805
  6. Step 6: Final answer
    x = 10,746.99

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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.