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Finding the Fourth Proportional to 13,050, 19,576.68 and 3,816.08

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Solution

The fourth proportional to 13,050, 19,576.68 and 3,816.08 is: 5,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050 : 19,576.68 = 3,816.08 : x
  2. Step 2: Convert to fraction form
    13,050/19,576.68 = 3,816.08/x
  3. Step 3: Cross multiply
    13,050x = 19,576.68 × 3,816.08
  4. Step 4: Simplify right side
    13,050x = 74,706,177.01
  5. Step 5: Solve for x
    x = 74,706,177.01/13,050
  6. Step 6: Final answer
    x = 5,724.61

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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.