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Finding the Fourth Proportional to 21,076.77, 31,615.16 and 6,296.06

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Solution

The fourth proportional to 21,076.77, 31,615.16 and 6,296.06 is: 9,444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.77 : 31,615.16 = 6,296.06 : x
  2. Step 2: Convert to fraction form
    21,076.77/31,615.16 = 6,296.06/x
  3. Step 3: Cross multiply
    21,076.77x = 31,615.16 × 6,296.06
  4. Step 4: Simplify right side
    21,076.77x = 199,050,991.83
  5. Step 5: Solve for x
    x = 199,050,991.83/21,076.77
  6. Step 6: Final answer
    x = 9,444.09

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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.