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Finding the Fourth Proportional to 17,762.94, 26,648.49 and 6,076.14

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Solution

The fourth proportional to 17,762.94, 26,648.49 and 6,076.14 is: 9,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.94 : 26,648.49 = 6,076.14 : x
  2. Step 2: Convert to fraction form
    17,762.94/26,648.49 = 6,076.14/x
  3. Step 3: Cross multiply
    17,762.94x = 26,648.49 × 6,076.14
  4. Step 4: Simplify right side
    17,762.94x = 161,919,956.03
  5. Step 5: Solve for x
    x = 161,919,956.03/17,762.94
  6. Step 6: Final answer
    x = 9,115.61

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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.