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Finding the Fourth Proportional to 21,357, 29,472.36 and 12,409.54

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Solution

The fourth proportional to 21,357, 29,472.36 and 12,409.54 is: 17,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357 : 29,472.36 = 12,409.54 : x
  2. Step 2: Convert to fraction form
    21,357/29,472.36 = 12,409.54/x
  3. Step 3: Cross multiply
    21,357x = 29,472.36 × 12,409.54
  4. Step 4: Simplify right side
    21,357x = 365,738,310.10
  5. Step 5: Solve for x
    x = 365,738,310.10/21,357
  6. Step 6: Final answer
    x = 17,124.99

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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.