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Finding the Fourth Proportional to 23,205.58, 32,021.94 and 13,645.88

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Solution

The fourth proportional to 23,205.58, 32,021.94 and 13,645.88 is: 18,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.58 : 32,021.94 = 13,645.88 : x
  2. Step 2: Convert to fraction form
    23,205.58/32,021.94 = 13,645.88/x
  3. Step 3: Cross multiply
    23,205.58x = 32,021.94 × 13,645.88
  4. Step 4: Simplify right side
    23,205.58x = 436,967,550.61
  5. Step 5: Solve for x
    x = 436,967,550.61/23,205.58
  6. Step 6: Final answer
    x = 18,830.28

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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.