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Finding the Fourth Proportional to 14,457.77, 21,685.69 and 4,969.18

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Solution

The fourth proportional to 14,457.77, 21,685.69 and 4,969.18 is: 7,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.77 : 21,685.69 = 4,969.18 : x
  2. Step 2: Convert to fraction form
    14,457.77/21,685.69 = 4,969.18/x
  3. Step 3: Cross multiply
    14,457.77x = 21,685.69 × 4,969.18
  4. Step 4: Simplify right side
    14,457.77x = 107,760,049.03
  5. Step 5: Solve for x
    x = 107,760,049.03/14,457.77
  6. Step 6: Final answer
    x = 7,453.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.