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Finding the Fourth Proportional to 12,242.28, 16,892.26 and 6,936

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Solution

The fourth proportional to 12,242.28, 16,892.26 and 6,936 is: 9,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.28 : 16,892.26 = 6,936 : x
  2. Step 2: Convert to fraction form
    12,242.28/16,892.26 = 6,936/x
  3. Step 3: Cross multiply
    12,242.28x = 16,892.26 × 6,936
  4. Step 4: Simplify right side
    12,242.28x = 117,164,715.36
  5. Step 5: Solve for x
    x = 117,164,715.36/12,242.28
  6. Step 6: Final answer
    x = 9,570.50

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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.