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Finding the Fourth Proportional to 16,205.78, 24,298.94 and 6,333.30

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Solution

The fourth proportional to 16,205.78, 24,298.94 and 6,333.30 is: 9,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.78 : 24,298.94 = 6,333.30 : x
  2. Step 2: Convert to fraction form
    16,205.78/24,298.94 = 6,333.30/x
  3. Step 3: Cross multiply
    16,205.78x = 24,298.94 × 6,333.30
  4. Step 4: Simplify right side
    16,205.78x = 153,892,445.04
  5. Step 5: Solve for x
    x = 153,892,445.04/16,205.78
  6. Step 6: Final answer
    x = 9,496.15

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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.