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Finding the Fourth Proportional to 14,267.84, 21,408.80 and 6,878.56

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Solution

The fourth proportional to 14,267.84, 21,408.80 and 6,878.56 is: 10,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,267.84 : 21,408.80 = 6,878.56 : x
  2. Step 2: Convert to fraction form
    14,267.84/21,408.80 = 6,878.56/x
  3. Step 3: Cross multiply
    14,267.84x = 21,408.80 × 6,878.56
  4. Step 4: Simplify right side
    14,267.84x = 147,261,715.33
  5. Step 5: Solve for x
    x = 147,261,715.33/14,267.84
  6. Step 6: Final answer
    x = 10,321.23

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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.