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Finding the Fourth Proportional to 21,283.29, 29,369.70 and 15,641.73

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Solution

The fourth proportional to 21,283.29, 29,369.70 and 15,641.73 is: 21,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.29 : 29,369.70 = 15,641.73 : x
  2. Step 2: Convert to fraction form
    21,283.29/29,369.70 = 15,641.73/x
  3. Step 3: Cross multiply
    21,283.29x = 29,369.70 × 15,641.73
  4. Step 4: Simplify right side
    21,283.29x = 459,392,917.58
  5. Step 5: Solve for x
    x = 459,392,917.58/21,283.29
  6. Step 6: Final answer
    x = 21,584.68

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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.