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Finding the Fourth Proportional to 10,896.96, 16,351.68 and 9,070.20

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Solution

The fourth proportional to 10,896.96, 16,351.68 and 9,070.20 is: 13,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.96 : 16,351.68 = 9,070.20 : x
  2. Step 2: Convert to fraction form
    10,896.96/16,351.68 = 9,070.20/x
  3. Step 3: Cross multiply
    10,896.96x = 16,351.68 × 9,070.20
  4. Step 4: Simplify right side
    10,896.96x = 148,313,007.94
  5. Step 5: Solve for x
    x = 148,313,007.94/10,896.96
  6. Step 6: Final answer
    x = 13,610.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.