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Finding the Fourth Proportional to 16,514.37, 22,786.25 and 9,802.22

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Solution

The fourth proportional to 16,514.37, 22,786.25 and 9,802.22 is: 13,524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.37 : 22,786.25 = 9,802.22 : x
  2. Step 2: Convert to fraction form
    16,514.37/22,786.25 = 9,802.22/x
  3. Step 3: Cross multiply
    16,514.37x = 22,786.25 × 9,802.22
  4. Step 4: Simplify right side
    16,514.37x = 223,355,672.53
  5. Step 5: Solve for x
    x = 223,355,672.53/16,514.37
  6. Step 6: Final answer
    x = 13,524.93

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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.