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Finding the Fourth Proportional to 21,003.74, 31,508.04 and 6,965

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Solution

The fourth proportional to 21,003.74, 31,508.04 and 6,965 is: 10,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.74 : 31,508.04 = 6,965 : x
  2. Step 2: Convert to fraction form
    21,003.74/31,508.04 = 6,965/x
  3. Step 3: Cross multiply
    21,003.74x = 31,508.04 × 6,965
  4. Step 4: Simplify right side
    21,003.74x = 219,453,498.60
  5. Step 5: Solve for x
    x = 219,453,498.60/21,003.74
  6. Step 6: Final answer
    x = 10,448.31

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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.