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Finding the Fourth Proportional to 27,774.69, 38,289.21 and 19,803.08

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Solution

The fourth proportional to 27,774.69, 38,289.21 and 19,803.08 is: 27,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.69 : 38,289.21 = 19,803.08 : x
  2. Step 2: Convert to fraction form
    27,774.69/38,289.21 = 19,803.08/x
  3. Step 3: Cross multiply
    27,774.69x = 38,289.21 × 19,803.08
  4. Step 4: Simplify right side
    27,774.69x = 758,244,097.32
  5. Step 5: Solve for x
    x = 758,244,097.32/27,774.69
  6. Step 6: Final answer
    x = 27,299.82

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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.