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Finding the Fourth Proportional to 16,199.30, 22,362.54 and 11,423.14

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Solution

The fourth proportional to 16,199.30, 22,362.54 and 11,423.14 is: 15,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.30 : 22,362.54 = 11,423.14 : x
  2. Step 2: Convert to fraction form
    16,199.30/22,362.54 = 11,423.14/x
  3. Step 3: Cross multiply
    16,199.30x = 22,362.54 × 11,423.14
  4. Step 4: Simplify right side
    16,199.30x = 255,450,425.18
  5. Step 5: Solve for x
    x = 255,450,425.18/16,199.30
  6. Step 6: Final answer
    x = 15,769.23

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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.