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Finding the Fourth Proportional to 14,309.78, 19,747.68 and 7,936.50

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Solution

The fourth proportional to 14,309.78, 19,747.68 and 7,936.50 is: 10,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.78 : 19,747.68 = 7,936.50 : x
  2. Step 2: Convert to fraction form
    14,309.78/19,747.68 = 7,936.50/x
  3. Step 3: Cross multiply
    14,309.78x = 19,747.68 × 7,936.50
  4. Step 4: Simplify right side
    14,309.78x = 156,727,462.32
  5. Step 5: Solve for x
    x = 156,727,462.32/14,309.78
  6. Step 6: Final answer
    x = 10,952.47

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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.