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Finding the Fourth Proportional to 17,457.83, 24,092.24 and 9,500.49

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Solution

The fourth proportional to 17,457.83, 24,092.24 and 9,500.49 is: 13,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.83 : 24,092.24 = 9,500.49 : x
  2. Step 2: Convert to fraction form
    17,457.83/24,092.24 = 9,500.49/x
  3. Step 3: Cross multiply
    17,457.83x = 24,092.24 × 9,500.49
  4. Step 4: Simplify right side
    17,457.83x = 228,888,037.70
  5. Step 5: Solve for x
    x = 228,888,037.70/17,457.83
  6. Step 6: Final answer
    x = 13,110.91

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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.