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Finding the Fourth Proportional to 21,311.37, 31,969.80 and 11,437.11

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Solution

The fourth proportional to 21,311.37, 31,969.80 and 11,437.11 is: 17,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.37 : 31,969.80 = 11,437.11 : x
  2. Step 2: Convert to fraction form
    21,311.37/31,969.80 = 11,437.11/x
  3. Step 3: Cross multiply
    21,311.37x = 31,969.80 × 11,437.11
  4. Step 4: Simplify right side
    21,311.37x = 365,642,119.28
  5. Step 5: Solve for x
    x = 365,642,119.28/21,311.37
  6. Step 6: Final answer
    x = 17,157.14

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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.