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Finding the Fourth Proportional to 25,706.20, 38,570.10 and 14,027.80

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Solution

The fourth proportional to 25,706.20, 38,570.10 and 14,027.80 is: 21,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.20 : 38,570.10 = 14,027.80 : x
  2. Step 2: Convert to fraction form
    25,706.20/38,570.10 = 14,027.80/x
  3. Step 3: Cross multiply
    25,706.20x = 38,570.10 × 14,027.80
  4. Step 4: Simplify right side
    25,706.20x = 541,053,648.78
  5. Step 5: Solve for x
    x = 541,053,648.78/25,706.20
  6. Step 6: Final answer
    x = 21,047.59

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