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Finding the Fourth Proportional to 25,508.37, 38,230.14 and 14,421.27

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Solution

The fourth proportional to 25,508.37, 38,230.14 and 14,421.27 is: 21,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.37 : 38,230.14 = 14,421.27 : x
  2. Step 2: Convert to fraction form
    25,508.37/38,230.14 = 14,421.27/x
  3. Step 3: Cross multiply
    25,508.37x = 38,230.14 × 14,421.27
  4. Step 4: Simplify right side
    25,508.37x = 551,327,171.08
  5. Step 5: Solve for x
    x = 551,327,171.08/25,508.37
  6. Step 6: Final answer
    x = 21,613.58

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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.