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Finding the Fourth Proportional to 17,762.30, 26,625.09 and 6,661.16

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Solution

The fourth proportional to 17,762.30, 26,625.09 and 6,661.16 is: 9,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.30 : 26,625.09 = 6,661.16 : x
  2. Step 2: Convert to fraction form
    17,762.30/26,625.09 = 6,661.16/x
  3. Step 3: Cross multiply
    17,762.30x = 26,625.09 × 6,661.16
  4. Step 4: Simplify right side
    17,762.30x = 177,353,984.50
  5. Step 5: Solve for x
    x = 177,353,984.50/17,762.30
  6. Step 6: Final answer
    x = 9,984.85

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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.