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Finding the Fourth Proportional to 23,398.42, 35,114.03 and 13,524.11

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Solution

The fourth proportional to 23,398.42, 35,114.03 and 13,524.11 is: 20,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398.42 : 35,114.03 = 13,524.11 : x
  2. Step 2: Convert to fraction form
    23,398.42/35,114.03 = 13,524.11/x
  3. Step 3: Cross multiply
    23,398.42x = 35,114.03 × 13,524.11
  4. Step 4: Simplify right side
    23,398.42x = 474,885,936.64
  5. Step 5: Solve for x
    x = 474,885,936.64/23,398.42
  6. Step 6: Final answer
    x = 20,295.65

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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.