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Finding the Fourth Proportional to 16,384.44, 22,608.65 and 9,212.91

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Solution

The fourth proportional to 16,384.44, 22,608.65 and 9,212.91 is: 12,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.44 : 22,608.65 = 9,212.91 : x
  2. Step 2: Convert to fraction form
    16,384.44/22,608.65 = 9,212.91/x
  3. Step 3: Cross multiply
    16,384.44x = 22,608.65 × 9,212.91
  4. Step 4: Simplify right side
    16,384.44x = 208,291,395.92
  5. Step 5: Solve for x
    x = 208,291,395.92/16,384.44
  6. Step 6: Final answer
    x = 12,712.75

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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.