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Finding the Fourth Proportional to 19,678.80, 27,156.64 and 11,298

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Solution

The fourth proportional to 19,678.80, 27,156.64 and 11,298 is: 15,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.80 : 27,156.64 = 11,298 : x
  2. Step 2: Convert to fraction form
    19,678.80/27,156.64 = 11,298/x
  3. Step 3: Cross multiply
    19,678.80x = 27,156.64 × 11,298
  4. Step 4: Simplify right side
    19,678.80x = 306,815,718.72
  5. Step 5: Solve for x
    x = 306,815,718.72/19,678.80
  6. Step 6: Final answer
    x = 15,591.18

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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.