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Finding the Fourth Proportional to 23,643.72, 35,465.50 and 7,003.88

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Solution

The fourth proportional to 23,643.72, 35,465.50 and 7,003.88 is: 10,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.72 : 35,465.50 = 7,003.88 : x
  2. Step 2: Convert to fraction form
    23,643.72/35,465.50 = 7,003.88/x
  3. Step 3: Cross multiply
    23,643.72x = 35,465.50 × 7,003.88
  4. Step 4: Simplify right side
    23,643.72x = 248,396,106.14
  5. Step 5: Solve for x
    x = 248,396,106.14/23,643.72
  6. Step 6: Final answer
    x = 10,505.80

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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.