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Finding the Fourth Proportional to 23,671.14, 32,661.62 and 14,240.31

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Solution

The fourth proportional to 23,671.14, 32,661.62 and 14,240.31 is: 19,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.14 : 32,661.62 = 14,240.31 : x
  2. Step 2: Convert to fraction form
    23,671.14/32,661.62 = 14,240.31/x
  3. Step 3: Cross multiply
    23,671.14x = 32,661.62 × 14,240.31
  4. Step 4: Simplify right side
    23,671.14x = 465,111,359.39
  5. Step 5: Solve for x
    x = 465,111,359.39/23,671.14
  6. Step 6: Final answer
    x = 19,648.88

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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.