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Finding the Fourth Proportional to 25,896.64, 38,861.76 and 14,218

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Solution

The fourth proportional to 25,896.64, 38,861.76 and 14,218 is: 21,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.64 : 38,861.76 = 14,218 : x
  2. Step 2: Convert to fraction form
    25,896.64/38,861.76 = 14,218/x
  3. Step 3: Cross multiply
    25,896.64x = 38,861.76 × 14,218
  4. Step 4: Simplify right side
    25,896.64x = 552,536,503.68
  5. Step 5: Solve for x
    x = 552,536,503.68/25,896.64
  6. Step 6: Final answer
    x = 21,336.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.