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Finding the Fourth Proportional to 20,412.06, 30,619.23 and 6,374.03

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Solution

The fourth proportional to 20,412.06, 30,619.23 and 6,374.03 is: 9,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412.06 : 30,619.23 = 6,374.03 : x
  2. Step 2: Convert to fraction form
    20,412.06/30,619.23 = 6,374.03/x
  3. Step 3: Cross multiply
    20,412.06x = 30,619.23 × 6,374.03
  4. Step 4: Simplify right side
    20,412.06x = 195,167,737.50
  5. Step 5: Solve for x
    x = 195,167,737.50/20,412.06
  6. Step 6: Final answer
    x = 9,561.39

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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.