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Finding the Fourth Proportional to 13,497.60, 18,614.56 and 8,462.37

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Solution

The fourth proportional to 13,497.60, 18,614.56 and 8,462.37 is: 11,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.60 : 18,614.56 = 8,462.37 : x
  2. Step 2: Convert to fraction form
    13,497.60/18,614.56 = 8,462.37/x
  3. Step 3: Cross multiply
    13,497.60x = 18,614.56 × 8,462.37
  4. Step 4: Simplify right side
    13,497.60x = 157,523,251.80
  5. Step 5: Solve for x
    x = 157,523,251.80/13,497.60
  6. Step 6: Final answer
    x = 11,670.46

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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.