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Finding the Fourth Proportional to 21,174, 29,220.30 and 11,742.58

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Solution

The fourth proportional to 21,174, 29,220.30 and 11,742.58 is: 16,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174 : 29,220.30 = 11,742.58 : x
  2. Step 2: Convert to fraction form
    21,174/29,220.30 = 11,742.58/x
  3. Step 3: Cross multiply
    21,174x = 29,220.30 × 11,742.58
  4. Step 4: Simplify right side
    21,174x = 343,121,710.37
  5. Step 5: Solve for x
    x = 343,121,710.37/21,174
  6. Step 6: Final answer
    x = 16,204.86

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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.