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Finding the Fourth Proportional to 21,176.67, 31,768.65 and 11,313.30

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Solution

The fourth proportional to 21,176.67, 31,768.65 and 11,313.30 is: 16,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176.67 : 31,768.65 = 11,313.30 : x
  2. Step 2: Convert to fraction form
    21,176.67/31,768.65 = 11,313.30/x
  3. Step 3: Cross multiply
    21,176.67x = 31,768.65 × 11,313.30
  4. Step 4: Simplify right side
    21,176.67x = 359,408,268.05
  5. Step 5: Solve for x
    x = 359,408,268.05/21,176.67
  6. Step 6: Final answer
    x = 16,971.90

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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.