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Finding the Fourth Proportional to 21,359.22, 29,473.70 and 12,406.49

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Solution

The fourth proportional to 21,359.22, 29,473.70 and 12,406.49 is: 17,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,359.22 : 29,473.70 = 12,406.49 : x
  2. Step 2: Convert to fraction form
    21,359.22/29,473.70 = 12,406.49/x
  3. Step 3: Cross multiply
    21,359.22x = 29,473.70 × 12,406.49
  4. Step 4: Simplify right side
    21,359.22x = 365,665,164.31
  5. Step 5: Solve for x
    x = 365,665,164.31/21,359.22
  6. Step 6: Final answer
    x = 17,119.78

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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.