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Finding the Fourth Proportional to 19,706.34, 27,194.67 and 10,753.83

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Solution

The fourth proportional to 19,706.34, 27,194.67 and 10,753.83 is: 14,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.34 : 27,194.67 = 10,753.83 : x
  2. Step 2: Convert to fraction form
    19,706.34/27,194.67 = 10,753.83/x
  3. Step 3: Cross multiply
    19,706.34x = 27,194.67 × 10,753.83
  4. Step 4: Simplify right side
    19,706.34x = 292,446,858.09
  5. Step 5: Solve for x
    x = 292,446,858.09/19,706.34
  6. Step 6: Final answer
    x = 14,840.24

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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.