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Finding the Fourth Proportional to 18,614.84, 27,889.44 and 9,830.36

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Solution

The fourth proportional to 18,614.84, 27,889.44 and 9,830.36 is: 14,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614.84 : 27,889.44 = 9,830.36 : x
  2. Step 2: Convert to fraction form
    18,614.84/27,889.44 = 9,830.36/x
  3. Step 3: Cross multiply
    18,614.84x = 27,889.44 × 9,830.36
  4. Step 4: Simplify right side
    18,614.84x = 274,163,235.40
  5. Step 5: Solve for x
    x = 274,163,235.40/18,614.84
  6. Step 6: Final answer
    x = 14,728.21

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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.