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Finding the Fourth Proportional to 16,514.35, 22,786.25 and 9,802.19

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Solution

The fourth proportional to 16,514.35, 22,786.25 and 9,802.19 is: 13,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.35 : 22,786.25 = 9,802.19 : x
  2. Step 2: Convert to fraction form
    16,514.35/22,786.25 = 9,802.19/x
  3. Step 3: Cross multiply
    16,514.35x = 22,786.25 × 9,802.19
  4. Step 4: Simplify right side
    16,514.35x = 223,355,159.84
  5. Step 5: Solve for x
    x = 223,355,159.84/16,514.35
  6. Step 6: Final answer
    x = 13,524.92

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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.