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Finding the Fourth Proportional to 21,983.01, 30,336.54 and 11,911.50

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Solution

The fourth proportional to 21,983.01, 30,336.54 and 11,911.50 is: 16,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983.01 : 30,336.54 = 11,911.50 : x
  2. Step 2: Convert to fraction form
    21,983.01/30,336.54 = 11,911.50/x
  3. Step 3: Cross multiply
    21,983.01x = 30,336.54 × 11,911.50
  4. Step 4: Simplify right side
    21,983.01x = 361,353,696.21
  5. Step 5: Solve for x
    x = 361,353,696.21/21,983.01
  6. Step 6: Final answer
    x = 16,437.86

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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.