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Finding the Fourth Proportional to 13,412.94, 20,119.50 and 4,645.80

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Solution

The fourth proportional to 13,412.94, 20,119.50 and 4,645.80 is: 6,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.94 : 20,119.50 = 4,645.80 : x
  2. Step 2: Convert to fraction form
    13,412.94/20,119.50 = 4,645.80/x
  3. Step 3: Cross multiply
    13,412.94x = 20,119.50 × 4,645.80
  4. Step 4: Simplify right side
    13,412.94x = 93,471,173.10
  5. Step 5: Solve for x
    x = 93,471,173.10/13,412.94
  6. Step 6: Final answer
    x = 6,968.73

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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.