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Finding the Fourth Proportional to 19,677.84, 27,145.80 and 11,717.52

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Solution

The fourth proportional to 19,677.84, 27,145.80 and 11,717.52 is: 16,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,677.84 : 27,145.80 = 11,717.52 : x
  2. Step 2: Convert to fraction form
    19,677.84/27,145.80 = 11,717.52/x
  3. Step 3: Cross multiply
    19,677.84x = 27,145.80 × 11,717.52
  4. Step 4: Simplify right side
    19,677.84x = 318,081,454.42
  5. Step 5: Solve for x
    x = 318,081,454.42/19,677.84
  6. Step 6: Final answer
    x = 16,164.45

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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.