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Finding the Fourth Proportional to 20,981.54, 28,954.40 and 11,549.54

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Solution

The fourth proportional to 20,981.54, 28,954.40 and 11,549.54 is: 15,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.54 : 28,954.40 = 11,549.54 : x
  2. Step 2: Convert to fraction form
    20,981.54/28,954.40 = 11,549.54/x
  3. Step 3: Cross multiply
    20,981.54x = 28,954.40 × 11,549.54
  4. Step 4: Simplify right side
    20,981.54x = 334,410,000.98
  5. Step 5: Solve for x
    x = 334,410,000.98/20,981.54
  6. Step 6: Final answer
    x = 15,938.30

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Why These Related Problems?

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