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Finding the Fourth Proportional to 16,578.96, 22,879.34 and 9,409.35

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Solution

The fourth proportional to 16,578.96, 22,879.34 and 9,409.35 is: 12,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.96 : 22,879.34 = 9,409.35 : x
  2. Step 2: Convert to fraction form
    16,578.96/22,879.34 = 9,409.35/x
  3. Step 3: Cross multiply
    16,578.96x = 22,879.34 × 9,409.35
  4. Step 4: Simplify right side
    16,578.96x = 215,279,717.83
  5. Step 5: Solve for x
    x = 215,279,717.83/16,578.96
  6. Step 6: Final answer
    x = 12,985.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.