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Finding the Fourth Proportional to 17,663.41, 26,488.16 and 6,416.09

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Solution

The fourth proportional to 17,663.41, 26,488.16 and 6,416.09 is: 9,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.41 : 26,488.16 = 6,416.09 : x
  2. Step 2: Convert to fraction form
    17,663.41/26,488.16 = 6,416.09/x
  3. Step 3: Cross multiply
    17,663.41x = 26,488.16 × 6,416.09
  4. Step 4: Simplify right side
    17,663.41x = 169,950,418.49
  5. Step 5: Solve for x
    x = 169,950,418.49/17,663.41
  6. Step 6: Final answer
    x = 9,621.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.