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Finding the Fourth Proportional to 13,709.78, 20,564.67 and 4,944.70

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Solution

The fourth proportional to 13,709.78, 20,564.67 and 4,944.70 is: 7,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.78 : 20,564.67 = 4,944.70 : x
  2. Step 2: Convert to fraction form
    13,709.78/20,564.67 = 4,944.70/x
  3. Step 3: Cross multiply
    13,709.78x = 20,564.67 × 4,944.70
  4. Step 4: Simplify right side
    13,709.78x = 101,686,052.32
  5. Step 5: Solve for x
    x = 101,686,052.32/13,709.78
  6. Step 6: Final answer
    x = 7,417.04

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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.