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Finding the Fourth Proportional to 21,077.77, 31,616.65 and 6,297.06

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Solution

The fourth proportional to 21,077.77, 31,616.65 and 6,297.06 is: 9,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.77 : 31,616.65 = 6,297.06 : x
  2. Step 2: Convert to fraction form
    21,077.77/31,616.65 = 6,297.06/x
  3. Step 3: Cross multiply
    21,077.77x = 31,616.65 × 6,297.06
  4. Step 4: Simplify right side
    21,077.77x = 199,091,942.05
  5. Step 5: Solve for x
    x = 199,091,942.05/21,077.77
  6. Step 6: Final answer
    x = 9,445.59

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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.