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Finding the Fourth Proportional to 19,784.99, 27,302.24 and 10,830.78

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Solution

The fourth proportional to 19,784.99, 27,302.24 and 10,830.78 is: 14,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.99 : 27,302.24 = 10,830.78 : x
  2. Step 2: Convert to fraction form
    19,784.99/27,302.24 = 10,830.78/x
  3. Step 3: Cross multiply
    19,784.99x = 27,302.24 × 10,830.78
  4. Step 4: Simplify right side
    19,784.99x = 295,704,418.44
  5. Step 5: Solve for x
    x = 295,704,418.44/19,784.99
  6. Step 6: Final answer
    x = 14,945.90

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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.