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Finding the Fourth Proportional to 14,120.94, 19,489.23 and 7,835.34

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Solution

The fourth proportional to 14,120.94, 19,489.23 and 7,835.34 is: 10,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.94 : 19,489.23 = 7,835.34 : x
  2. Step 2: Convert to fraction form
    14,120.94/19,489.23 = 7,835.34/x
  3. Step 3: Cross multiply
    14,120.94x = 19,489.23 × 7,835.34
  4. Step 4: Simplify right side
    14,120.94x = 152,704,743.39
  5. Step 5: Solve for x
    x = 152,704,743.39/14,120.94
  6. Step 6: Final answer
    x = 10,814.06

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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.