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Finding the Fourth Proportional to 23,672.16, 32,660.28 and 14,107.68

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Solution

The fourth proportional to 23,672.16, 32,660.28 and 14,107.68 is: 19,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,672.16 : 32,660.28 = 14,107.68 : x
  2. Step 2: Convert to fraction form
    23,672.16/32,660.28 = 14,107.68/x
  3. Step 3: Cross multiply
    23,672.16x = 32,660.28 × 14,107.68
  4. Step 4: Simplify right side
    23,672.16x = 460,760,778.95
  5. Step 5: Solve for x
    x = 460,760,778.95/23,672.16
  6. Step 6: Final answer
    x = 19,464.25

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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.