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Finding the Fourth Proportional to 14,189.34, 19,581.32 and 8,222.16

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Solution

The fourth proportional to 14,189.34, 19,581.32 and 8,222.16 is: 11,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.34 : 19,581.32 = 8,222.16 : x
  2. Step 2: Convert to fraction form
    14,189.34/19,581.32 = 8,222.16/x
  3. Step 3: Cross multiply
    14,189.34x = 19,581.32 × 8,222.16
  4. Step 4: Simplify right side
    14,189.34x = 161,000,704.94
  5. Step 5: Solve for x
    x = 161,000,704.94/14,189.34
  6. Step 6: Final answer
    x = 11,346.60

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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.