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Finding the Fourth Proportional to 22,074.47, 30,462.21 and 12,002.69

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Solution

The fourth proportional to 22,074.47, 30,462.21 and 12,002.69 is: 16,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.47 : 30,462.21 = 12,002.69 : x
  2. Step 2: Convert to fraction form
    22,074.47/30,462.21 = 12,002.69/x
  3. Step 3: Cross multiply
    22,074.47x = 30,462.21 × 12,002.69
  4. Step 4: Simplify right side
    22,074.47x = 365,628,539.50
  5. Step 5: Solve for x
    x = 365,628,539.50/22,074.47
  6. Step 6: Final answer
    x = 16,563.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.