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Finding the Fourth Proportional to 14,451.84, 19,944.76 and 8,165.36

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Solution

The fourth proportional to 14,451.84, 19,944.76 and 8,165.36 is: 11,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.84 : 19,944.76 = 8,165.36 : x
  2. Step 2: Convert to fraction form
    14,451.84/19,944.76 = 8,165.36/x
  3. Step 3: Cross multiply
    14,451.84x = 19,944.76 × 8,165.36
  4. Step 4: Simplify right side
    14,451.84x = 162,856,145.51
  5. Step 5: Solve for x
    x = 162,856,145.51/14,451.84
  6. Step 6: Final answer
    x = 11,268.89

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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.