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Finding the Fourth Proportional to 25,586.37, 35,311.79 and 14,257.71

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Solution

The fourth proportional to 25,586.37, 35,311.79 and 14,257.71 is: 19,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.37 : 35,311.79 = 14,257.71 : x
  2. Step 2: Convert to fraction form
    25,586.37/35,311.79 = 14,257.71/x
  3. Step 3: Cross multiply
    25,586.37x = 35,311.79 × 14,257.71
  4. Step 4: Simplify right side
    25,586.37x = 503,465,261.40
  5. Step 5: Solve for x
    x = 503,465,261.40/25,586.37
  6. Step 6: Final answer
    x = 19,677.09

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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.