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Finding the Fourth Proportional to 23,868.63, 35,803.82 and 7,230.01

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Solution

The fourth proportional to 23,868.63, 35,803.82 and 7,230.01 is: 10,845.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,868.63 : 35,803.82 = 7,230.01 : x
  2. Step 2: Convert to fraction form
    23,868.63/35,803.82 = 7,230.01/x
  3. Step 3: Cross multiply
    23,868.63x = 35,803.82 × 7,230.01
  4. Step 4: Simplify right side
    23,868.63x = 258,861,976.64
  5. Step 5: Solve for x
    x = 258,861,976.64/23,868.63
  6. Step 6: Final answer
    x = 10,845.28

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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.