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Finding the Fourth Proportional to 13,293, 19,939.50 and 4,059

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Solution

The fourth proportional to 13,293, 19,939.50 and 4,059 is: 6,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293 : 19,939.50 = 4,059 : x
  2. Step 2: Convert to fraction form
    13,293/19,939.50 = 4,059/x
  3. Step 3: Cross multiply
    13,293x = 19,939.50 × 4,059
  4. Step 4: Simplify right side
    13,293x = 80,934,430.50
  5. Step 5: Solve for x
    x = 80,934,430.50/13,293
  6. Step 6: Final answer
    x = 6,088.50

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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.