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Finding the Fourth Proportional to 22,120.86, 30,527.16 and 12,049.50

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Solution

The fourth proportional to 22,120.86, 30,527.16 and 12,049.50 is: 16,628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120.86 : 30,527.16 = 12,049.50 : x
  2. Step 2: Convert to fraction form
    22,120.86/30,527.16 = 12,049.50/x
  3. Step 3: Cross multiply
    22,120.86x = 30,527.16 × 12,049.50
  4. Step 4: Simplify right side
    22,120.86x = 367,837,014.42
  5. Step 5: Solve for x
    x = 367,837,014.42/22,120.86
  6. Step 6: Final answer
    x = 16,628.51

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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.