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Finding the Fourth Proportional to 14,771.25, 20,384.34 and 8,484.84

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Solution

The fourth proportional to 14,771.25, 20,384.34 and 8,484.84 is: 11,709.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.25 : 20,384.34 = 8,484.84 : x
  2. Step 2: Convert to fraction form
    14,771.25/20,384.34 = 8,484.84/x
  3. Step 3: Cross multiply
    14,771.25x = 20,384.34 × 8,484.84
  4. Step 4: Simplify right side
    14,771.25x = 172,957,863.41
  5. Step 5: Solve for x
    x = 172,957,863.41/14,771.25
  6. Step 6: Final answer
    x = 11,709.09

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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.