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Finding the Fourth Proportional to 19,976.37, 29,975.02 and 7,505

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Solution

The fourth proportional to 19,976.37, 29,975.02 and 7,505 is: 11,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,976.37 : 29,975.02 = 7,505 : x
  2. Step 2: Convert to fraction form
    19,976.37/29,975.02 = 7,505/x
  3. Step 3: Cross multiply
    19,976.37x = 29,975.02 × 7,505
  4. Step 4: Simplify right side
    19,976.37x = 224,962,525.10
  5. Step 5: Solve for x
    x = 224,962,525.10/19,976.37
  6. Step 6: Final answer
    x = 11,261.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.