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Finding the Fourth Proportional to 14,456.64, 19,950.24 and 8,169.60

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Solution

The fourth proportional to 14,456.64, 19,950.24 and 8,169.60 is: 11,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.64 : 19,950.24 = 8,169.60 : x
  2. Step 2: Convert to fraction form
    14,456.64/19,950.24 = 8,169.60/x
  3. Step 3: Cross multiply
    14,456.64x = 19,950.24 × 8,169.60
  4. Step 4: Simplify right side
    14,456.64x = 162,985,480.70
  5. Step 5: Solve for x
    x = 162,985,480.70/14,456.64
  6. Step 6: Final answer
    x = 11,274.09

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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.