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Finding the Fourth Proportional to 21,175.84, 29,221.68 and 11,744.20

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Solution

The fourth proportional to 21,175.84, 29,221.68 and 11,744.20 is: 16,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.84 : 29,221.68 = 11,744.20 : x
  2. Step 2: Convert to fraction form
    21,175.84/29,221.68 = 11,744.20/x
  3. Step 3: Cross multiply
    21,175.84x = 29,221.68 × 11,744.20
  4. Step 4: Simplify right side
    21,175.84x = 343,185,254.26
  5. Step 5: Solve for x
    x = 343,185,254.26/21,175.84
  6. Step 6: Final answer
    x = 16,206.45

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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.