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Finding the Fourth Proportional to 20,851.66, 31,263.54 and 11,496.16

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Solution

The fourth proportional to 20,851.66, 31,263.54 and 11,496.16 is: 17,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.66 : 31,263.54 = 11,496.16 : x
  2. Step 2: Convert to fraction form
    20,851.66/31,263.54 = 11,496.16/x
  3. Step 3: Cross multiply
    20,851.66x = 31,263.54 × 11,496.16
  4. Step 4: Simplify right side
    20,851.66x = 359,410,658.01
  5. Step 5: Solve for x
    x = 359,410,658.01/20,851.66
  6. Step 6: Final answer
    x = 17,236.55

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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.