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Finding the Fourth Proportional to 16,453.36, 24,683.64 and 7,683.46

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Solution

The fourth proportional to 16,453.36, 24,683.64 and 7,683.46 is: 11,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.36 : 24,683.64 = 7,683.46 : x
  2. Step 2: Convert to fraction form
    16,453.36/24,683.64 = 7,683.46/x
  3. Step 3: Cross multiply
    16,453.36x = 24,683.64 × 7,683.46
  4. Step 4: Simplify right side
    16,453.36x = 189,655,760.59
  5. Step 5: Solve for x
    x = 189,655,760.59/16,453.36
  6. Step 6: Final answer
    x = 11,526.87

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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.