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Finding the Fourth Proportional to 16,312.21, 24,472.09 and 5,781.67

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Solution

The fourth proportional to 16,312.21, 24,472.09 and 5,781.67 is: 8,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.21 : 24,472.09 = 5,781.67 : x
  2. Step 2: Convert to fraction form
    16,312.21/24,472.09 = 5,781.67/x
  3. Step 3: Cross multiply
    16,312.21x = 24,472.09 × 5,781.67
  4. Step 4: Simplify right side
    16,312.21x = 141,489,548.59
  5. Step 5: Solve for x
    x = 141,489,548.59/16,312.21
  6. Step 6: Final answer
    x = 8,673.84

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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.