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Finding the Fourth Proportional to 13,374.60, 20,074.23 and 6,805.50

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Solution

The fourth proportional to 13,374.60, 20,074.23 and 6,805.50 is: 10,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.60 : 20,074.23 = 6,805.50 : x
  2. Step 2: Convert to fraction form
    13,374.60/20,074.23 = 6,805.50/x
  3. Step 3: Cross multiply
    13,374.60x = 20,074.23 × 6,805.50
  4. Step 4: Simplify right side
    13,374.60x = 136,615,172.27
  5. Step 5: Solve for x
    x = 136,615,172.27/13,374.60
  6. Step 6: Final answer
    x = 10,214.52

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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.