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Finding the Fourth Proportional to 11,425.86, 17,116.92 and 9,202.41

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Solution

The fourth proportional to 11,425.86, 17,116.92 and 9,202.41 is: 13,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.86 : 17,116.92 = 9,202.41 : x
  2. Step 2: Convert to fraction form
    11,425.86/17,116.92 = 9,202.41/x
  3. Step 3: Cross multiply
    11,425.86x = 17,116.92 × 9,202.41
  4. Step 4: Simplify right side
    11,425.86x = 157,516,915.78
  5. Step 5: Solve for x
    x = 157,516,915.78/11,425.86
  6. Step 6: Final answer
    x = 13,786.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.