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Finding the Fourth Proportional to 14,483.25, 19,986.89 and 8,195.63

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Solution

The fourth proportional to 14,483.25, 19,986.89 and 8,195.63 is: 11,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.25 : 19,986.89 = 8,195.63 : x
  2. Step 2: Convert to fraction form
    14,483.25/19,986.89 = 8,195.63/x
  3. Step 3: Cross multiply
    14,483.25x = 19,986.89 × 8,195.63
  4. Step 4: Simplify right side
    14,483.25x = 163,805,014.38
  5. Step 5: Solve for x
    x = 163,805,014.38/14,483.25
  6. Step 6: Final answer
    x = 11,309.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.