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Finding the Fourth Proportional to 21,524.17, 29,703.90 and 11,833.51

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Solution

The fourth proportional to 21,524.17, 29,703.90 and 11,833.51 is: 16,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524.17 : 29,703.90 = 11,833.51 : x
  2. Step 2: Convert to fraction form
    21,524.17/29,703.90 = 11,833.51/x
  3. Step 3: Cross multiply
    21,524.17x = 29,703.90 × 11,833.51
  4. Step 4: Simplify right side
    21,524.17x = 351,501,353.01
  5. Step 5: Solve for x
    x = 351,501,353.01/21,524.17
  6. Step 6: Final answer
    x = 16,330.54

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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.