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Finding the Fourth Proportional to 19,923.84, 27,489.24 and 12,854.40

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Solution

The fourth proportional to 19,923.84, 27,489.24 and 12,854.40 is: 17,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.84 : 27,489.24 = 12,854.40 : x
  2. Step 2: Convert to fraction form
    19,923.84/27,489.24 = 12,854.40/x
  3. Step 3: Cross multiply
    19,923.84x = 27,489.24 × 12,854.40
  4. Step 4: Simplify right side
    19,923.84x = 353,357,686.66
  5. Step 5: Solve for x
    x = 353,357,686.66/19,923.84
  6. Step 6: Final answer
    x = 17,735.42

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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.