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Finding the Fourth Proportional to 17,457.66, 24,091.11 and 10,288.24

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Solution

The fourth proportional to 17,457.66, 24,091.11 and 10,288.24 is: 14,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.66 : 24,091.11 = 10,288.24 : x
  2. Step 2: Convert to fraction form
    17,457.66/24,091.11 = 10,288.24/x
  3. Step 3: Cross multiply
    17,457.66x = 24,091.11 × 10,288.24
  4. Step 4: Simplify right side
    17,457.66x = 247,855,061.32
  5. Step 5: Solve for x
    x = 247,855,061.32/17,457.66
  6. Step 6: Final answer
    x = 14,197.50

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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.