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Finding the Fourth Proportional to 13,041, 19,561.50 and 3,807

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Solution

The fourth proportional to 13,041, 19,561.50 and 3,807 is: 5,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,041 : 19,561.50 = 3,807 : x
  2. Step 2: Convert to fraction form
    13,041/19,561.50 = 3,807/x
  3. Step 3: Cross multiply
    13,041x = 19,561.50 × 3,807
  4. Step 4: Simplify right side
    13,041x = 74,470,630.50
  5. Step 5: Solve for x
    x = 74,470,630.50/13,041
  6. Step 6: Final answer
    x = 5,710.50

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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.