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Finding the Fourth Proportional to 21,343.84, 29,456.12 and 11,785.56

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Solution

The fourth proportional to 21,343.84, 29,456.12 and 11,785.56 is: 16,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.84 : 29,456.12 = 11,785.56 : x
  2. Step 2: Convert to fraction form
    21,343.84/29,456.12 = 11,785.56/x
  3. Step 3: Cross multiply
    21,343.84x = 29,456.12 × 11,785.56
  4. Step 4: Simplify right side
    21,343.84x = 347,156,869.63
  5. Step 5: Solve for x
    x = 347,156,869.63/21,343.84
  6. Step 6: Final answer
    x = 16,264.97

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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.