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Finding the Fourth Proportional to 16,471.38, 24,709.50 and 4,783.08

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Solution

The fourth proportional to 16,471.38, 24,709.50 and 4,783.08 is: 7,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.38 : 24,709.50 = 4,783.08 : x
  2. Step 2: Convert to fraction form
    16,471.38/24,709.50 = 4,783.08/x
  3. Step 3: Cross multiply
    16,471.38x = 24,709.50 × 4,783.08
  4. Step 4: Simplify right side
    16,471.38x = 118,187,515.26
  5. Step 5: Solve for x
    x = 118,187,515.26/16,471.38
  6. Step 6: Final answer
    x = 7,175.33

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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.