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Finding the Fourth Proportional to 12,723.86, 17,558.70 and 7,134.86

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Solution

The fourth proportional to 12,723.86, 17,558.70 and 7,134.86 is: 9,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,723.86 : 17,558.70 = 7,134.86 : x
  2. Step 2: Convert to fraction form
    12,723.86/17,558.70 = 7,134.86/x
  3. Step 3: Cross multiply
    12,723.86x = 17,558.70 × 7,134.86
  4. Step 4: Simplify right side
    12,723.86x = 125,278,866.28
  5. Step 5: Solve for x
    x = 125,278,866.28/12,723.86
  6. Step 6: Final answer
    x = 9,845.98

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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.