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Finding the Fourth Proportional to 25,893.96, 38,814.21 and 14,182.44

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Solution

The fourth proportional to 25,893.96, 38,814.21 and 14,182.44 is: 21,259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.96 : 38,814.21 = 14,182.44 : x
  2. Step 2: Convert to fraction form
    25,893.96/38,814.21 = 14,182.44/x
  3. Step 3: Cross multiply
    25,893.96x = 38,814.21 × 14,182.44
  4. Step 4: Simplify right side
    25,893.96x = 550,480,204.47
  5. Step 5: Solve for x
    x = 550,480,204.47/25,893.96
  6. Step 6: Final answer
    x = 21,259.02

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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.