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Finding the Fourth Proportional to 20,838.54, 28,756.06 and 11,405.28

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Solution

The fourth proportional to 20,838.54, 28,756.06 and 11,405.28 is: 15,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.54 : 28,756.06 = 11,405.28 : x
  2. Step 2: Convert to fraction form
    20,838.54/28,756.06 = 11,405.28/x
  3. Step 3: Cross multiply
    20,838.54x = 28,756.06 × 11,405.28
  4. Step 4: Simplify right side
    20,838.54x = 327,970,916.00
  5. Step 5: Solve for x
    x = 327,970,916.00/20,838.54
  6. Step 6: Final answer
    x = 15,738.67

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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.