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Finding the Fourth Proportional to 16,448.83, 24,676.89 and 7,678.96

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Solution

The fourth proportional to 16,448.83, 24,676.89 and 7,678.96 is: 11,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.83 : 24,676.89 = 7,678.96 : x
  2. Step 2: Convert to fraction form
    16,448.83/24,676.89 = 7,678.96/x
  3. Step 3: Cross multiply
    16,448.83x = 24,676.89 × 7,678.96
  4. Step 4: Simplify right side
    16,448.83x = 189,492,851.23
  5. Step 5: Solve for x
    x = 189,492,851.23/16,448.83
  6. Step 6: Final answer
    x = 11,520.14

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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.