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Finding the Fourth Proportional to 13,833, 20,760.36 and 6,047.28

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Solution

The fourth proportional to 13,833, 20,760.36 and 6,047.28 is: 9,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833 : 20,760.36 = 6,047.28 : x
  2. Step 2: Convert to fraction form
    13,833/20,760.36 = 6,047.28/x
  3. Step 3: Cross multiply
    13,833x = 20,760.36 × 6,047.28
  4. Step 4: Simplify right side
    13,833x = 125,543,709.82
  5. Step 5: Solve for x
    x = 125,543,709.82/13,833
  6. Step 6: Final answer
    x = 9,075.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.