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Finding the Fourth Proportional to 19,678.26, 27,138.30 and 12,961.46

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Solution

The fourth proportional to 19,678.26, 27,138.30 and 12,961.46 is: 17,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.26 : 27,138.30 = 12,961.46 : x
  2. Step 2: Convert to fraction form
    19,678.26/27,138.30 = 12,961.46/x
  3. Step 3: Cross multiply
    19,678.26x = 27,138.30 × 12,961.46
  4. Step 4: Simplify right side
    19,678.26x = 351,751,989.92
  5. Step 5: Solve for x
    x = 351,751,989.92/19,678.26
  6. Step 6: Final answer
    x = 17,875.16

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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.