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Finding the Fourth Proportional to 23,780.88, 32,820.04 and 13,709.68

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Solution

The fourth proportional to 23,780.88, 32,820.04 and 13,709.68 is: 18,920.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.88 : 32,820.04 = 13,709.68 : x
  2. Step 2: Convert to fraction form
    23,780.88/32,820.04 = 13,709.68/x
  3. Step 3: Cross multiply
    23,780.88x = 32,820.04 × 13,709.68
  4. Step 4: Simplify right side
    23,780.88x = 449,952,245.99
  5. Step 5: Solve for x
    x = 449,952,245.99/23,780.88
  6. Step 6: Final answer
    x = 18,920.76

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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.