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Finding the Fourth Proportional to 23,338.65, 35,003.14 and 6,694.98

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Solution

The fourth proportional to 23,338.65, 35,003.14 and 6,694.98 is: 10,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.65 : 35,003.14 = 6,694.98 : x
  2. Step 2: Convert to fraction form
    23,338.65/35,003.14 = 6,694.98/x
  3. Step 3: Cross multiply
    23,338.65x = 35,003.14 × 6,694.98
  4. Step 4: Simplify right side
    23,338.65x = 234,345,322.24
  5. Step 5: Solve for x
    x = 234,345,322.24/23,338.65
  6. Step 6: Final answer
    x = 10,041.08

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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.