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Finding the Fourth Proportional to 17,065.53, 23,550.38 and 9,511.77

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Solution

The fourth proportional to 17,065.53, 23,550.38 and 9,511.77 is: 13,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.53 : 23,550.38 = 9,511.77 : x
  2. Step 2: Convert to fraction form
    17,065.53/23,550.38 = 9,511.77/x
  3. Step 3: Cross multiply
    17,065.53x = 23,550.38 × 9,511.77
  4. Step 4: Simplify right side
    17,065.53x = 224,005,874.40
  5. Step 5: Solve for x
    x = 224,005,874.40/17,065.53
  6. Step 6: Final answer
    x = 13,126.22

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Why These Related Problems?

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