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Finding the Fourth Proportional to 21,156.96, 31,739.62 and 6,365.22

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Solution

The fourth proportional to 21,156.96, 31,739.62 and 6,365.22 is: 9,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,156.96 : 31,739.62 = 6,365.22 : x
  2. Step 2: Convert to fraction form
    21,156.96/31,739.62 = 6,365.22/x
  3. Step 3: Cross multiply
    21,156.96x = 31,739.62 × 6,365.22
  4. Step 4: Simplify right side
    21,156.96x = 202,029,664.02
  5. Step 5: Solve for x
    x = 202,029,664.02/21,156.96
  6. Step 6: Final answer
    x = 9,549.09

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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.