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Finding the Fourth Proportional to 25,586.51, 35,311.97 and 14,257.85

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Solution

The fourth proportional to 25,586.51, 35,311.97 and 14,257.85 is: 19,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.51 : 35,311.97 = 14,257.85 : x
  2. Step 2: Convert to fraction form
    25,586.51/35,311.97 = 14,257.85/x
  3. Step 3: Cross multiply
    25,586.51x = 35,311.97 × 14,257.85
  4. Step 4: Simplify right side
    25,586.51x = 503,472,523.62
  5. Step 5: Solve for x
    x = 503,472,523.62/25,586.51
  6. Step 6: Final answer
    x = 19,677.27

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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.