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Finding the Fourth Proportional to 24,178.35, 36,241.37 and 10,146

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Solution

The fourth proportional to 24,178.35, 36,241.37 and 10,146 is: 15,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.35 : 36,241.37 = 10,146 : x
  2. Step 2: Convert to fraction form
    24,178.35/36,241.37 = 10,146/x
  3. Step 3: Cross multiply
    24,178.35x = 36,241.37 × 10,146
  4. Step 4: Simplify right side
    24,178.35x = 367,704,940.02
  5. Step 5: Solve for x
    x = 367,704,940.02/24,178.35
  6. Step 6: Final answer
    x = 15,208.02

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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.