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Finding the Fourth Proportional to 21,407.27, 29,540.67 and 11,714.76

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Solution

The fourth proportional to 21,407.27, 29,540.67 and 11,714.76 is: 16,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.27 : 29,540.67 = 11,714.76 : x
  2. Step 2: Convert to fraction form
    21,407.27/29,540.67 = 11,714.76/x
  3. Step 3: Cross multiply
    21,407.27x = 29,540.67 × 11,714.76
  4. Step 4: Simplify right side
    21,407.27x = 346,061,859.29
  5. Step 5: Solve for x
    x = 346,061,859.29/21,407.27
  6. Step 6: Final answer
    x = 16,165.62

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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.