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Finding the Fourth Proportional to 20,987.58, 31,473.90 and 6,945

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Solution

The fourth proportional to 20,987.58, 31,473.90 and 6,945 is: 10,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,987.58 : 31,473.90 = 6,945 : x
  2. Step 2: Convert to fraction form
    20,987.58/31,473.90 = 6,945/x
  3. Step 3: Cross multiply
    20,987.58x = 31,473.90 × 6,945
  4. Step 4: Simplify right side
    20,987.58x = 218,586,235.50
  5. Step 5: Solve for x
    x = 218,586,235.50/20,987.58
  6. Step 6: Final answer
    x = 10,415.03

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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.