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Finding the Fourth Proportional to 17,745.60, 24,496.80 and 11,461.04

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Solution

The fourth proportional to 17,745.60, 24,496.80 and 11,461.04 is: 15,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.60 : 24,496.80 = 11,461.04 : x
  2. Step 2: Convert to fraction form
    17,745.60/24,496.80 = 11,461.04/x
  3. Step 3: Cross multiply
    17,745.60x = 24,496.80 × 11,461.04
  4. Step 4: Simplify right side
    17,745.60x = 280,758,804.67
  5. Step 5: Solve for x
    x = 280,758,804.67/17,745.60
  6. Step 6: Final answer
    x = 15,821.32

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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.