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Finding the Fourth Proportional to 25,588.26, 35,311.26 and 14,257.71

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Solution

The fourth proportional to 25,588.26, 35,311.26 and 14,257.71 is: 19,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.26 : 35,311.26 = 14,257.71 : x
  2. Step 2: Convert to fraction form
    25,588.26/35,311.26 = 14,257.71/x
  3. Step 3: Cross multiply
    25,588.26x = 35,311.26 × 14,257.71
  4. Step 4: Simplify right side
    25,588.26x = 503,457,528.26
  5. Step 5: Solve for x
    x = 503,457,528.26/25,588.26
  6. Step 6: Final answer
    x = 19,675.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.