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Finding the Fourth Proportional to 16,400.76, 22,634.96 and 9,328.24

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Solution

The fourth proportional to 16,400.76, 22,634.96 and 9,328.24 is: 12,874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.76 : 22,634.96 = 9,328.24 : x
  2. Step 2: Convert to fraction form
    16,400.76/22,634.96 = 9,328.24/x
  3. Step 3: Cross multiply
    16,400.76x = 22,634.96 × 9,328.24
  4. Step 4: Simplify right side
    16,400.76x = 211,144,339.27
  5. Step 5: Solve for x
    x = 211,144,339.27/16,400.76
  6. Step 6: Final answer
    x = 12,874.06

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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.