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Finding the Fourth Proportional to 19,852.57, 27,409.37 and 12,306.93

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Solution

The fourth proportional to 19,852.57, 27,409.37 and 12,306.93 is: 16,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.57 : 27,409.37 = 12,306.93 : x
  2. Step 2: Convert to fraction form
    19,852.57/27,409.37 = 12,306.93/x
  3. Step 3: Cross multiply
    19,852.57x = 27,409.37 × 12,306.93
  4. Step 4: Simplify right side
    19,852.57x = 337,325,197.93
  5. Step 5: Solve for x
    x = 337,325,197.93/19,852.57
  6. Step 6: Final answer
    x = 16,991.51

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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.