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Finding the Fourth Proportional to 21,434.58, 29,569.83 and 13,883.42

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Solution

The fourth proportional to 21,434.58, 29,569.83 and 13,883.42 is: 19,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.58 : 29,569.83 = 13,883.42 : x
  2. Step 2: Convert to fraction form
    21,434.58/29,569.83 = 13,883.42/x
  3. Step 3: Cross multiply
    21,434.58x = 29,569.83 × 13,883.42
  4. Step 4: Simplify right side
    21,434.58x = 410,530,221.37
  5. Step 5: Solve for x
    x = 410,530,221.37/21,434.58
  6. Step 6: Final answer
    x = 19,152.71

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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.