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Finding the Fourth Proportional to 16,401.69, 22,628.48 and 9,683.96

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Solution

The fourth proportional to 16,401.69, 22,628.48 and 9,683.96 is: 13,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.69 : 22,628.48 = 9,683.96 : x
  2. Step 2: Convert to fraction form
    16,401.69/22,628.48 = 9,683.96/x
  3. Step 3: Cross multiply
    16,401.69x = 22,628.48 × 9,683.96
  4. Step 4: Simplify right side
    16,401.69x = 219,133,133.62
  5. Step 5: Solve for x
    x = 219,133,133.62/16,401.69
  6. Step 6: Final answer
    x = 13,360.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.