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Finding the Fourth Proportional to 21,499.16, 29,665.85 and 11,938.32

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Solution

The fourth proportional to 21,499.16, 29,665.85 and 11,938.32 is: 16,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.16 : 29,665.85 = 11,938.32 : x
  2. Step 2: Convert to fraction form
    21,499.16/29,665.85 = 11,938.32/x
  3. Step 3: Cross multiply
    21,499.16x = 29,665.85 × 11,938.32
  4. Step 4: Simplify right side
    21,499.16x = 354,160,350.68
  5. Step 5: Solve for x
    x = 354,160,350.68/21,499.16
  6. Step 6: Final answer
    x = 16,473.22

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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.