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Finding the Fourth Proportional to 19,774.40, 27,288.43 and 10,821.78

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Solution

The fourth proportional to 19,774.40, 27,288.43 and 10,821.78 is: 14,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.40 : 27,288.43 = 10,821.78 : x
  2. Step 2: Convert to fraction form
    19,774.40/27,288.43 = 10,821.78/x
  3. Step 3: Cross multiply
    19,774.40x = 27,288.43 × 10,821.78
  4. Step 4: Simplify right side
    19,774.40x = 295,309,358.95
  5. Step 5: Solve for x
    x = 295,309,358.95/19,774.40
  6. Step 6: Final answer
    x = 14,933.93

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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.