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Finding the Fourth Proportional to 16,026.34, 24,022.49 and 9,455.62

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Solution

The fourth proportional to 16,026.34, 24,022.49 and 9,455.62 is: 14,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.34 : 24,022.49 = 9,455.62 : x
  2. Step 2: Convert to fraction form
    16,026.34/24,022.49 = 9,455.62/x
  3. Step 3: Cross multiply
    16,026.34x = 24,022.49 × 9,455.62
  4. Step 4: Simplify right side
    16,026.34x = 227,147,536.89
  5. Step 5: Solve for x
    x = 227,147,536.89/16,026.34
  6. Step 6: Final answer
    x = 14,173.39

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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.