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Finding the Fourth Proportional to 16,204.48, 24,307.92 and 5,673.34

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Solution

The fourth proportional to 16,204.48, 24,307.92 and 5,673.34 is: 8,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.48 : 24,307.92 = 5,673.34 : x
  2. Step 2: Convert to fraction form
    16,204.48/24,307.92 = 5,673.34/x
  3. Step 3: Cross multiply
    16,204.48x = 24,307.92 × 5,673.34
  4. Step 4: Simplify right side
    16,204.48x = 137,907,094.85
  5. Step 5: Solve for x
    x = 137,907,094.85/16,204.48
  6. Step 6: Final answer
    x = 8,510.43

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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.