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Finding the Fourth Proportional to 14,114.42, 19,487.09 and 9,636.54

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Solution

The fourth proportional to 14,114.42, 19,487.09 and 9,636.54 is: 13,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.42 : 19,487.09 = 9,636.54 : x
  2. Step 2: Convert to fraction form
    14,114.42/19,487.09 = 9,636.54/x
  3. Step 3: Cross multiply
    14,114.42x = 19,487.09 × 9,636.54
  4. Step 4: Simplify right side
    14,114.42x = 187,788,122.27
  5. Step 5: Solve for x
    x = 187,788,122.27/14,114.42
  6. Step 6: Final answer
    x = 13,304.70

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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.