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Finding the Fourth Proportional to 21,100.56, 31,650.56 and 6,309.60

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Solution

The fourth proportional to 21,100.56, 31,650.56 and 6,309.60 is: 9,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,100.56 : 31,650.56 = 6,309.60 : x
  2. Step 2: Convert to fraction form
    21,100.56/31,650.56 = 6,309.60/x
  3. Step 3: Cross multiply
    21,100.56x = 31,650.56 × 6,309.60
  4. Step 4: Simplify right side
    21,100.56x = 199,702,373.38
  5. Step 5: Solve for x
    x = 199,702,373.38/21,100.56
  6. Step 6: Final answer
    x = 9,464.32

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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.