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Finding the Fourth Proportional to 10,838.62, 16,285.34 and 10,401.22

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Solution

The fourth proportional to 10,838.62, 16,285.34 and 10,401.22 is: 15,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.62 : 16,285.34 = 10,401.22 : x
  2. Step 2: Convert to fraction form
    10,838.62/16,285.34 = 10,401.22/x
  3. Step 3: Cross multiply
    10,838.62x = 16,285.34 × 10,401.22
  4. Step 4: Simplify right side
    10,838.62x = 169,387,404.11
  5. Step 5: Solve for x
    x = 169,387,404.11/10,838.62
  6. Step 6: Final answer
    x = 15,628.13

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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.