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Finding the Fourth Proportional to 20,881.76, 31,329.54 and 13,889.30

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Solution

The fourth proportional to 20,881.76, 31,329.54 and 13,889.30 is: 20,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881.76 : 31,329.54 = 13,889.30 : x
  2. Step 2: Convert to fraction form
    20,881.76/31,329.54 = 13,889.30/x
  3. Step 3: Cross multiply
    20,881.76x = 31,329.54 × 13,889.30
  4. Step 4: Simplify right side
    20,881.76x = 435,145,223.27
  5. Step 5: Solve for x
    x = 435,145,223.27/20,881.76
  6. Step 6: Final answer
    x = 20,838.54

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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.