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Finding the Fourth Proportional to 17,745.76, 24,473.96 and 12,658.56

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Solution

The fourth proportional to 17,745.76, 24,473.96 and 12,658.56 is: 17,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.76 : 24,473.96 = 12,658.56 : x
  2. Step 2: Convert to fraction form
    17,745.76/24,473.96 = 12,658.56/x
  3. Step 3: Cross multiply
    17,745.76x = 24,473.96 × 12,658.56
  4. Step 4: Simplify right side
    17,745.76x = 309,805,091.10
  5. Step 5: Solve for x
    x = 309,805,091.10/17,745.76
  6. Step 6: Final answer
    x = 17,457.98

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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.