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Finding the Fourth Proportional to 23,842.42, 32,906.46 and 14,412.40

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Solution

The fourth proportional to 23,842.42, 32,906.46 and 14,412.40 is: 19,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.42 : 32,906.46 = 14,412.40 : x
  2. Step 2: Convert to fraction form
    23,842.42/32,906.46 = 14,412.40/x
  3. Step 3: Cross multiply
    23,842.42x = 32,906.46 × 14,412.40
  4. Step 4: Simplify right side
    23,842.42x = 474,261,064.10
  5. Step 5: Solve for x
    x = 474,261,064.10/23,842.42
  6. Step 6: Final answer
    x = 19,891.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.