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Finding the Fourth Proportional to 14,745.84, 20,349.60 and 8,778.24

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Solution

The fourth proportional to 14,745.84, 20,349.60 and 8,778.24 is: 12,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.84 : 20,349.60 = 8,778.24 : x
  2. Step 2: Convert to fraction form
    14,745.84/20,349.60 = 8,778.24/x
  3. Step 3: Cross multiply
    14,745.84x = 20,349.60 × 8,778.24
  4. Step 4: Simplify right side
    14,745.84x = 178,633,672.70
  5. Step 5: Solve for x
    x = 178,633,672.70/14,745.84
  6. Step 6: Final answer
    x = 12,114.17

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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.