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Finding the Fourth Proportional to 17,457.41, 24,091.58 and 9,499.46

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Solution

The fourth proportional to 17,457.41, 24,091.58 and 9,499.46 is: 13,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.41 : 24,091.58 = 9,499.46 : x
  2. Step 2: Convert to fraction form
    17,457.41/24,091.58 = 9,499.46/x
  3. Step 3: Cross multiply
    17,457.41x = 24,091.58 × 9,499.46
  4. Step 4: Simplify right side
    17,457.41x = 228,856,832.59
  5. Step 5: Solve for x
    x = 228,856,832.59/17,457.41
  6. Step 6: Final answer
    x = 13,109.44

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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.