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Finding the Fourth Proportional to 16,206.34, 24,299.78 and 6,333.86

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Solution

The fourth proportional to 16,206.34, 24,299.78 and 6,333.86 is: 9,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.34 : 24,299.78 = 6,333.86 : x
  2. Step 2: Convert to fraction form
    16,206.34/24,299.78 = 6,333.86/x
  3. Step 3: Cross multiply
    16,206.34x = 24,299.78 × 6,333.86
  4. Step 4: Simplify right side
    16,206.34x = 153,911,283.05
  5. Step 5: Solve for x
    x = 153,911,283.05/16,206.34
  6. Step 6: Final answer
    x = 9,496.98

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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.