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Finding the Fourth Proportional to 14,457.68, 19,949.28 and 8,169.20

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Solution

The fourth proportional to 14,457.68, 19,949.28 and 8,169.20 is: 11,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.68 : 19,949.28 = 8,169.20 : x
  2. Step 2: Convert to fraction form
    14,457.68/19,949.28 = 8,169.20/x
  3. Step 3: Cross multiply
    14,457.68x = 19,949.28 × 8,169.20
  4. Step 4: Simplify right side
    14,457.68x = 162,969,658.18
  5. Step 5: Solve for x
    x = 162,969,658.18/14,457.68
  6. Step 6: Final answer
    x = 11,272.19

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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.