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Finding the Fourth Proportional to 21,771.16, 30,044.06 and 11,835.16

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Solution

The fourth proportional to 21,771.16, 30,044.06 and 11,835.16 is: 16,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.16 : 30,044.06 = 11,835.16 : x
  2. Step 2: Convert to fraction form
    21,771.16/30,044.06 = 11,835.16/x
  3. Step 3: Cross multiply
    21,771.16x = 30,044.06 × 11,835.16
  4. Step 4: Simplify right side
    21,771.16x = 355,576,257.15
  5. Step 5: Solve for x
    x = 355,576,257.15/21,771.16
  6. Step 6: Final answer
    x = 16,332.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.