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Finding the Fourth Proportional to 21,617.83, 29,813.46 and 14,057.20

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Solution

The fourth proportional to 21,617.83, 29,813.46 and 14,057.20 is: 19,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.83 : 29,813.46 = 14,057.20 : x
  2. Step 2: Convert to fraction form
    21,617.83/29,813.46 = 14,057.20/x
  3. Step 3: Cross multiply
    21,617.83x = 29,813.46 × 14,057.20
  4. Step 4: Simplify right side
    21,617.83x = 419,093,769.91
  5. Step 5: Solve for x
    x = 419,093,769.91/21,617.83
  6. Step 6: Final answer
    x = 19,386.49

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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.