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Finding the Fourth Proportional to 16,406.53, 24,628.23 and 9,757.44

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Solution

The fourth proportional to 16,406.53, 24,628.23 and 9,757.44 is: 14,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.53 : 24,628.23 = 9,757.44 : x
  2. Step 2: Convert to fraction form
    16,406.53/24,628.23 = 9,757.44/x
  3. Step 3: Cross multiply
    16,406.53x = 24,628.23 × 9,757.44
  4. Step 4: Simplify right side
    16,406.53x = 240,308,476.53
  5. Step 5: Solve for x
    x = 240,308,476.53/16,406.53
  6. Step 6: Final answer
    x = 14,647.13

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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.