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Finding the Fourth Proportional to 17,457.81, 24,091.85 and 9,500.02

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Solution

The fourth proportional to 17,457.81, 24,091.85 and 9,500.02 is: 13,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.81 : 24,091.85 = 9,500.02 : x
  2. Step 2: Convert to fraction form
    17,457.81/24,091.85 = 9,500.02/x
  3. Step 3: Cross multiply
    17,457.81x = 24,091.85 × 9,500.02
  4. Step 4: Simplify right side
    17,457.81x = 228,873,056.84
  5. Step 5: Solve for x
    x = 228,873,056.84/17,457.81
  6. Step 6: Final answer
    x = 13,110.07

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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.