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Finding the Fourth Proportional to 23,760.64, 35,640.30 and 13,780.24

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Solution

The fourth proportional to 23,760.64, 35,640.30 and 13,780.24 is: 20,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.64 : 35,640.30 = 13,780.24 : x
  2. Step 2: Convert to fraction form
    23,760.64/35,640.30 = 13,780.24/x
  3. Step 3: Cross multiply
    23,760.64x = 35,640.30 × 13,780.24
  4. Step 4: Simplify right side
    23,760.64x = 491,131,887.67
  5. Step 5: Solve for x
    x = 491,131,887.67/23,760.64
  6. Step 6: Final answer
    x = 20,669.98

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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.