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Finding the Fourth Proportional to 16,461.30, 24,699.81 and 7,694.94

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Solution

The fourth proportional to 16,461.30, 24,699.81 and 7,694.94 is: 11,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.30 : 24,699.81 = 7,694.94 : x
  2. Step 2: Convert to fraction form
    16,461.30/24,699.81 = 7,694.94/x
  3. Step 3: Cross multiply
    16,461.30x = 24,699.81 × 7,694.94
  4. Step 4: Simplify right side
    16,461.30x = 190,063,555.96
  5. Step 5: Solve for x
    x = 190,063,555.96/16,461.30
  6. Step 6: Final answer
    x = 11,546.08

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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.