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Finding the Fourth Proportional to 14,456.57, 19,950.32 and 8,169.08

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Solution

The fourth proportional to 14,456.57, 19,950.32 and 8,169.08 is: 11,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.57 : 19,950.32 = 8,169.08 : x
  2. Step 2: Convert to fraction form
    14,456.57/19,950.32 = 8,169.08/x
  3. Step 3: Cross multiply
    14,456.57x = 19,950.32 × 8,169.08
  4. Step 4: Simplify right side
    14,456.57x = 162,975,719.26
  5. Step 5: Solve for x
    x = 162,975,719.26/14,456.57
  6. Step 6: Final answer
    x = 11,273.47

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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.