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Finding the Fourth Proportional to 14,309.16, 19,743.84 and 7,935.50

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Solution

The fourth proportional to 14,309.16, 19,743.84 and 7,935.50 is: 10,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.16 : 19,743.84 = 7,935.50 : x
  2. Step 2: Convert to fraction form
    14,309.16/19,743.84 = 7,935.50/x
  3. Step 3: Cross multiply
    14,309.16x = 19,743.84 × 7,935.50
  4. Step 4: Simplify right side
    14,309.16x = 156,677,143.60
  5. Step 5: Solve for x
    x = 156,677,143.60/14,309.16
  6. Step 6: Final answer
    x = 10,949.43

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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.