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Finding the Fourth Proportional to 16,321.34, 24,478.76 and 4,631.42

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Solution

The fourth proportional to 16,321.34, 24,478.76 and 4,631.42 is: 6,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.34 : 24,478.76 = 4,631.42 : x
  2. Step 2: Convert to fraction form
    16,321.34/24,478.76 = 4,631.42/x
  3. Step 3: Cross multiply
    16,321.34x = 24,478.76 × 4,631.42
  4. Step 4: Simplify right side
    16,321.34x = 113,371,418.64
  5. Step 5: Solve for x
    x = 113,371,418.64/16,321.34
  6. Step 6: Final answer
    x = 6,946.21

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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.