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Finding the Fourth Proportional to 25,241.82, 37,814.16 and 14,114.76

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Solution

The fourth proportional to 25,241.82, 37,814.16 and 14,114.76 is: 21,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,241.82 : 37,814.16 = 14,114.76 : x
  2. Step 2: Convert to fraction form
    25,241.82/37,814.16 = 14,114.76/x
  3. Step 3: Cross multiply
    25,241.82x = 37,814.16 × 14,114.76
  4. Step 4: Simplify right side
    25,241.82x = 533,737,793.00
  5. Step 5: Solve for x
    x = 533,737,793.00/25,241.82
  6. Step 6: Final answer
    x = 21,144.98

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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.