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Finding the Fourth Proportional to 14,149.64, 19,527.33 and 7,861.96

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Solution

The fourth proportional to 14,149.64, 19,527.33 and 7,861.96 is: 10,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.64 : 19,527.33 = 7,861.96 : x
  2. Step 2: Convert to fraction form
    14,149.64/19,527.33 = 7,861.96/x
  3. Step 3: Cross multiply
    14,149.64x = 19,527.33 × 7,861.96
  4. Step 4: Simplify right side
    14,149.64x = 153,523,087.37
  5. Step 5: Solve for x
    x = 153,523,087.37/14,149.64
  6. Step 6: Final answer
    x = 10,849.96

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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.