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Finding the Fourth Proportional to 14,744.94, 20,347.83 and 8,457.18

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Solution

The fourth proportional to 14,744.94, 20,347.83 and 8,457.18 is: 11,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.94 : 20,347.83 = 8,457.18 : x
  2. Step 2: Convert to fraction form
    14,744.94/20,347.83 = 8,457.18/x
  3. Step 3: Cross multiply
    14,744.94x = 20,347.83 × 8,457.18
  4. Step 4: Simplify right side
    14,744.94x = 172,085,260.92
  5. Step 5: Solve for x
    x = 172,085,260.92/14,744.94
  6. Step 6: Final answer
    x = 11,670.80

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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.