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Finding the Fourth Proportional to 16,842.68, 23,243.14 and 9,771.24

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Solution

The fourth proportional to 16,842.68, 23,243.14 and 9,771.24 is: 13,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842.68 : 23,243.14 = 9,771.24 : x
  2. Step 2: Convert to fraction form
    16,842.68/23,243.14 = 9,771.24/x
  3. Step 3: Cross multiply
    16,842.68x = 23,243.14 × 9,771.24
  4. Step 4: Simplify right side
    16,842.68x = 227,114,299.29
  5. Step 5: Solve for x
    x = 227,114,299.29/16,842.68
  6. Step 6: Final answer
    x = 13,484.45

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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.