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Finding the Fourth Proportional to 27,678.54, 38,184.75 and 19,299.90

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Solution

The fourth proportional to 27,678.54, 38,184.75 and 19,299.90 is: 26,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.54 : 38,184.75 = 19,299.90 : x
  2. Step 2: Convert to fraction form
    27,678.54/38,184.75 = 19,299.90/x
  3. Step 3: Cross multiply
    27,678.54x = 38,184.75 × 19,299.90
  4. Step 4: Simplify right side
    27,678.54x = 736,961,856.53
  5. Step 5: Solve for x
    x = 736,961,856.53/27,678.54
  6. Step 6: Final answer
    x = 26,625.75

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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.