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Finding the Fourth Proportional to 13,281.77, 19,896.73 and 10,346.33

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Solution

The fourth proportional to 13,281.77, 19,896.73 and 10,346.33 is: 15,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.77 : 19,896.73 = 10,346.33 : x
  2. Step 2: Convert to fraction form
    13,281.77/19,896.73 = 10,346.33/x
  3. Step 3: Cross multiply
    13,281.77x = 19,896.73 × 10,346.33
  4. Step 4: Simplify right side
    13,281.77x = 205,858,134.50
  5. Step 5: Solve for x
    x = 205,858,134.50/13,281.77
  6. Step 6: Final answer
    x = 15,499.30

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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.