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Finding the Fourth Proportional to 19,708.42, 27,197.62 and 12,634.84

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Solution

The fourth proportional to 19,708.42, 27,197.62 and 12,634.84 is: 17,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.42 : 27,197.62 = 12,634.84 : x
  2. Step 2: Convert to fraction form
    19,708.42/27,197.62 = 12,634.84/x
  3. Step 3: Cross multiply
    19,708.42x = 27,197.62 × 12,634.84
  4. Step 4: Simplify right side
    19,708.42x = 343,637,577.08
  5. Step 5: Solve for x
    x = 343,637,577.08/19,708.42
  6. Step 6: Final answer
    x = 17,436.08

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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.