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Finding the Fourth Proportional to 25,490.48, 35,171.16 and 14,311.76

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Solution

The fourth proportional to 25,490.48, 35,171.16 and 14,311.76 is: 19,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490.48 : 35,171.16 = 14,311.76 : x
  2. Step 2: Convert to fraction form
    25,490.48/35,171.16 = 14,311.76/x
  3. Step 3: Cross multiply
    25,490.48x = 35,171.16 × 14,311.76
  4. Step 4: Simplify right side
    25,490.48x = 503,361,200.84
  5. Step 5: Solve for x
    x = 503,361,200.84/25,490.48
  6. Step 6: Final answer
    x = 19,747.03

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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.