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Finding the Fourth Proportional to 14,178.69, 21,269.25 and 5,408.82

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Solution

The fourth proportional to 14,178.69, 21,269.25 and 5,408.82 is: 8,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.69 : 21,269.25 = 5,408.82 : x
  2. Step 2: Convert to fraction form
    14,178.69/21,269.25 = 5,408.82/x
  3. Step 3: Cross multiply
    14,178.69x = 21,269.25 × 5,408.82
  4. Step 4: Simplify right side
    14,178.69x = 115,041,544.79
  5. Step 5: Solve for x
    x = 115,041,544.79/14,178.69
  6. Step 6: Final answer
    x = 8,113.69

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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.