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Finding the Fourth Proportional to 12,811.98, 17,673.80 and 10,424.61

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Solution

The fourth proportional to 12,811.98, 17,673.80 and 10,424.61 is: 14,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.98 : 17,673.80 = 10,424.61 : x
  2. Step 2: Convert to fraction form
    12,811.98/17,673.80 = 10,424.61/x
  3. Step 3: Cross multiply
    12,811.98x = 17,673.80 × 10,424.61
  4. Step 4: Simplify right side
    12,811.98x = 184,242,472.22
  5. Step 5: Solve for x
    x = 184,242,472.22/12,811.98
  6. Step 6: Final answer
    x = 14,380.48

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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.