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Finding the Fourth Proportional to 27,315.95, 40,876.38 and 19,828.17

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Solution

The fourth proportional to 27,315.95, 40,876.38 and 19,828.17 is: 29,671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,315.95 : 40,876.38 = 19,828.17 : x
  2. Step 2: Convert to fraction form
    27,315.95/40,876.38 = 19,828.17/x
  3. Step 3: Cross multiply
    27,315.95x = 40,876.38 × 19,828.17
  4. Step 4: Simplify right side
    27,315.95x = 810,503,811.62
  5. Step 5: Solve for x
    x = 810,503,811.62/27,315.95
  6. Step 6: Final answer
    x = 29,671.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.