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Finding the Fourth Proportional to 22,074.34, 30,462.04 and 12,002.57

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Solution

The fourth proportional to 22,074.34, 30,462.04 and 12,002.57 is: 16,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.34 : 30,462.04 = 12,002.57 : x
  2. Step 2: Convert to fraction form
    22,074.34/30,462.04 = 12,002.57/x
  3. Step 3: Cross multiply
    22,074.34x = 30,462.04 × 12,002.57
  4. Step 4: Simplify right side
    22,074.34x = 365,622,767.44
  5. Step 5: Solve for x
    x = 365,622,767.44/22,074.34
  6. Step 6: Final answer
    x = 16,563.25

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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.