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Finding the Fourth Proportional to 13,009.50, 19,513.56 and 3,650.17

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Solution

The fourth proportional to 13,009.50, 19,513.56 and 3,650.17 is: 5,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.50 : 19,513.56 = 3,650.17 : x
  2. Step 2: Convert to fraction form
    13,009.50/19,513.56 = 3,650.17/x
  3. Step 3: Cross multiply
    13,009.50x = 19,513.56 × 3,650.17
  4. Step 4: Simplify right side
    13,009.50x = 71,227,811.31
  5. Step 5: Solve for x
    x = 71,227,811.31/13,009.50
  6. Step 6: Final answer
    x = 5,475.06

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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.