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Finding the Fourth Proportional to 21,422.70, 29,563.42 and 11,991.26

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Solution

The fourth proportional to 21,422.70, 29,563.42 and 11,991.26 is: 16,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422.70 : 29,563.42 = 11,991.26 : x
  2. Step 2: Convert to fraction form
    21,422.70/29,563.42 = 11,991.26/x
  3. Step 3: Cross multiply
    21,422.70x = 29,563.42 × 11,991.26
  4. Step 4: Simplify right side
    21,422.70x = 354,502,655.71
  5. Step 5: Solve for x
    x = 354,502,655.71/21,422.70
  6. Step 6: Final answer
    x = 16,547.99

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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.