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Finding the Fourth Proportional to 16,191, 22,342.96 and 9,020.74

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Solution

The fourth proportional to 16,191, 22,342.96 and 9,020.74 is: 12,448.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191 : 22,342.96 = 9,020.74 : x
  2. Step 2: Convert to fraction form
    16,191/22,342.96 = 9,020.74/x
  3. Step 3: Cross multiply
    16,191x = 22,342.96 × 9,020.74
  4. Step 4: Simplify right side
    16,191x = 201,550,032.99
  5. Step 5: Solve for x
    x = 201,550,032.99/16,191
  6. Step 6: Final answer
    x = 12,448.28

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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.