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Finding the Fourth Proportional to 22,234, 30,683.04 and 12,162.56

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Solution

The fourth proportional to 22,234, 30,683.04 and 12,162.56 is: 16,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234 : 30,683.04 = 12,162.56 : x
  2. Step 2: Convert to fraction form
    22,234/30,683.04 = 12,162.56/x
  3. Step 3: Cross multiply
    22,234x = 30,683.04 × 12,162.56
  4. Step 4: Simplify right side
    22,234x = 373,184,314.98
  5. Step 5: Solve for x
    x = 373,184,314.98/22,234
  6. Step 6: Final answer
    x = 16,784.40

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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.