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Finding the Fourth Proportional to 25,682.70, 38,534.85 and 14,004.30

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Solution

The fourth proportional to 25,682.70, 38,534.85 and 14,004.30 is: 21,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.70 : 38,534.85 = 14,004.30 : x
  2. Step 2: Convert to fraction form
    25,682.70/38,534.85 = 14,004.30/x
  3. Step 3: Cross multiply
    25,682.70x = 38,534.85 × 14,004.30
  4. Step 4: Simplify right side
    25,682.70x = 539,653,599.86
  5. Step 5: Solve for x
    x = 539,653,599.86/25,682.70
  6. Step 6: Final answer
    x = 21,012.34

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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.