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Finding the Fourth Proportional to 13,215, 19,823.22 and 3,981.72

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Solution

The fourth proportional to 13,215, 19,823.22 and 3,981.72 is: 5,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215 : 19,823.22 = 3,981.72 : x
  2. Step 2: Convert to fraction form
    13,215/19,823.22 = 3,981.72/x
  3. Step 3: Cross multiply
    13,215x = 19,823.22 × 3,981.72
  4. Step 4: Simplify right side
    13,215x = 78,930,511.54
  5. Step 5: Solve for x
    x = 78,930,511.54/13,215
  6. Step 6: Final answer
    x = 5,972.80

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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.