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Finding the Fourth Proportional to 11,814.55, 17,697.52 and 8,534.23

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Solution

The fourth proportional to 11,814.55, 17,697.52 and 8,534.23 is: 12,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.55 : 17,697.52 = 8,534.23 : x
  2. Step 2: Convert to fraction form
    11,814.55/17,697.52 = 8,534.23/x
  3. Step 3: Cross multiply
    11,814.55x = 17,697.52 × 8,534.23
  4. Step 4: Simplify right side
    11,814.55x = 151,034,706.11
  5. Step 5: Solve for x
    x = 151,034,706.11/11,814.55
  6. Step 6: Final answer
    x = 12,783.79

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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.