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Finding the Fourth Proportional to 18,533.61, 27,771.29 and 14,327.17

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Solution

The fourth proportional to 18,533.61, 27,771.29 and 14,327.17 is: 21,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.61 : 27,771.29 = 14,327.17 : x
  2. Step 2: Convert to fraction form
    18,533.61/27,771.29 = 14,327.17/x
  3. Step 3: Cross multiply
    18,533.61x = 27,771.29 × 14,327.17
  4. Step 4: Simplify right side
    18,533.61x = 397,883,851.89
  5. Step 5: Solve for x
    x = 397,883,851.89/18,533.61
  6. Step 6: Final answer
    x = 21,468.23

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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.