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Finding the Fourth Proportional to 17,774, 26,661.12 and 6,087.32

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Solution

The fourth proportional to 17,774, 26,661.12 and 6,087.32 is: 9,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774 : 26,661.12 = 6,087.32 : x
  2. Step 2: Convert to fraction form
    17,774/26,661.12 = 6,087.32/x
  3. Step 3: Cross multiply
    17,774x = 26,661.12 × 6,087.32
  4. Step 4: Simplify right side
    17,774x = 162,294,769.00
  5. Step 5: Solve for x
    x = 162,294,769.00/17,774
  6. Step 6: Final answer
    x = 9,131.02

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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.