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Finding the Fourth Proportional to 34,412.39, 51,623.72 and 12,223.90

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Solution

The fourth proportional to 34,412.39, 51,623.72 and 12,223.90 is: 18,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.39 : 51,623.72 = 12,223.90 : x
  2. Step 2: Convert to fraction form
    34,412.39/51,623.72 = 12,223.90/x
  3. Step 3: Cross multiply
    34,412.39x = 51,623.72 × 12,223.90
  4. Step 4: Simplify right side
    34,412.39x = 631,043,190.91
  5. Step 5: Solve for x
    x = 631,043,190.91/34,412.39
  6. Step 6: Final answer
    x = 18,337.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.