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Finding the Fourth Proportional to 14,114.30, 19,486.92 and 9,636.42

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Solution

The fourth proportional to 14,114.30, 19,486.92 and 9,636.42 is: 13,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.30 : 19,486.92 = 9,636.42 : x
  2. Step 2: Convert to fraction form
    14,114.30/19,486.92 = 9,636.42/x
  3. Step 3: Cross multiply
    14,114.30x = 19,486.92 × 9,636.42
  4. Step 4: Simplify right side
    14,114.30x = 187,784,145.63
  5. Step 5: Solve for x
    x = 187,784,145.63/14,114.30
  6. Step 6: Final answer
    x = 13,304.54

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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.