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Finding the Fourth Proportional to 17,647.94, 26,472.54 and 8,878.07

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Solution

The fourth proportional to 17,647.94, 26,472.54 and 8,878.07 is: 13,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.94 : 26,472.54 = 8,878.07 : x
  2. Step 2: Convert to fraction form
    17,647.94/26,472.54 = 8,878.07/x
  3. Step 3: Cross multiply
    17,647.94x = 26,472.54 × 8,878.07
  4. Step 4: Simplify right side
    17,647.94x = 235,025,063.20
  5. Step 5: Solve for x
    x = 235,025,063.20/17,647.94
  6. Step 6: Final answer
    x = 13,317.42

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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.