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Finding the Fourth Proportional to 11,905.67, 17,771.57 and 11,038.41

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Solution

The fourth proportional to 11,905.67, 17,771.57 and 11,038.41 is: 16,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.67 : 17,771.57 = 11,038.41 : x
  2. Step 2: Convert to fraction form
    11,905.67/17,771.57 = 11,038.41/x
  3. Step 3: Cross multiply
    11,905.67x = 17,771.57 × 11,038.41
  4. Step 4: Simplify right side
    11,905.67x = 196,169,820.81
  5. Step 5: Solve for x
    x = 196,169,820.81/11,905.67
  6. Step 6: Final answer
    x = 16,477.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.