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Finding the Fourth Proportional to 13,426.72, 18,527.52 and 7,840.96

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Solution

The fourth proportional to 13,426.72, 18,527.52 and 7,840.96 is: 10,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.72 : 18,527.52 = 7,840.96 : x
  2. Step 2: Convert to fraction form
    13,426.72/18,527.52 = 7,840.96/x
  3. Step 3: Cross multiply
    13,426.72x = 18,527.52 × 7,840.96
  4. Step 4: Simplify right side
    13,426.72x = 145,273,543.22
  5. Step 5: Solve for x
    x = 145,273,543.22/13,426.72
  6. Step 6: Final answer
    x = 10,819.73

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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.