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Finding the Fourth Proportional to 16,191.51, 22,343.64 and 9,021.24

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Solution

The fourth proportional to 16,191.51, 22,343.64 and 9,021.24 is: 12,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.51 : 22,343.64 = 9,021.24 : x
  2. Step 2: Convert to fraction form
    16,191.51/22,343.64 = 9,021.24/x
  3. Step 3: Cross multiply
    16,191.51x = 22,343.64 × 9,021.24
  4. Step 4: Simplify right side
    16,191.51x = 201,567,338.91
  5. Step 5: Solve for x
    x = 201,567,338.91/16,191.51
  6. Step 6: Final answer
    x = 12,448.95

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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.