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Finding the Fourth Proportional to 11,555.22, 17,323.11 and 9,358.50

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Solution

The fourth proportional to 11,555.22, 17,323.11 and 9,358.50 is: 14,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,555.22 : 17,323.11 = 9,358.50 : x
  2. Step 2: Convert to fraction form
    11,555.22/17,323.11 = 9,358.50/x
  3. Step 3: Cross multiply
    11,555.22x = 17,323.11 × 9,358.50
  4. Step 4: Simplify right side
    11,555.22x = 162,118,324.94
  5. Step 5: Solve for x
    x = 162,118,324.94/11,555.22
  6. Step 6: Final answer
    x = 14,029.88

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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.