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Finding the Fourth Proportional to 14,213.37, 19,614.65 and 9,177.81

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Solution

The fourth proportional to 14,213.37, 19,614.65 and 9,177.81 is: 12,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.37 : 19,614.65 = 9,177.81 : x
  2. Step 2: Convert to fraction form
    14,213.37/19,614.65 = 9,177.81/x
  3. Step 3: Cross multiply
    14,213.37x = 19,614.65 × 9,177.81
  4. Step 4: Simplify right side
    14,213.37x = 180,019,485.03
  5. Step 5: Solve for x
    x = 180,019,485.03/14,213.37
  6. Step 6: Final answer
    x = 12,665.50

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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.