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Finding the Fourth Proportional to 24,037.44, 33,170.58 and 13,425

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Solution

The fourth proportional to 24,037.44, 33,170.58 and 13,425 is: 18,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,037.44 : 33,170.58 = 13,425 : x
  2. Step 2: Convert to fraction form
    24,037.44/33,170.58 = 13,425/x
  3. Step 3: Cross multiply
    24,037.44x = 33,170.58 × 13,425
  4. Step 4: Simplify right side
    24,037.44x = 445,315,036.50
  5. Step 5: Solve for x
    x = 445,315,036.50/24,037.44
  6. Step 6: Final answer
    x = 18,525.89

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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.