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Finding the Fourth Proportional to 14,127.12, 19,494.45 and 7,839

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Solution

The fourth proportional to 14,127.12, 19,494.45 and 7,839 is: 10,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.12 : 19,494.45 = 7,839 : x
  2. Step 2: Convert to fraction form
    14,127.12/19,494.45 = 7,839/x
  3. Step 3: Cross multiply
    14,127.12x = 19,494.45 × 7,839
  4. Step 4: Simplify right side
    14,127.12x = 152,816,993.55
  5. Step 5: Solve for x
    x = 152,816,993.55/14,127.12
  6. Step 6: Final answer
    x = 10,817.28

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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.