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Finding the Fourth Proportional to 19,782.56, 27,299.98 and 10,830.62

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Solution

The fourth proportional to 19,782.56, 27,299.98 and 10,830.62 is: 14,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.56 : 27,299.98 = 10,830.62 : x
  2. Step 2: Convert to fraction form
    19,782.56/27,299.98 = 10,830.62/x
  3. Step 3: Cross multiply
    19,782.56x = 27,299.98 × 10,830.62
  4. Step 4: Simplify right side
    19,782.56x = 295,675,709.39
  5. Step 5: Solve for x
    x = 295,675,709.39/19,782.56
  6. Step 6: Final answer
    x = 14,946.28

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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.