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Finding the Fourth Proportional to 21,173.76, 29,220.24 and 11,742

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Solution

The fourth proportional to 21,173.76, 29,220.24 and 11,742 is: 16,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,173.76 : 29,220.24 = 11,742 : x
  2. Step 2: Convert to fraction form
    21,173.76/29,220.24 = 11,742/x
  3. Step 3: Cross multiply
    21,173.76x = 29,220.24 × 11,742
  4. Step 4: Simplify right side
    21,173.76x = 343,104,058.08
  5. Step 5: Solve for x
    x = 343,104,058.08/21,173.76
  6. Step 6: Final answer
    x = 16,204.21

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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.