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Finding the Fourth Proportional to 21,783.84, 30,067.04 and 12,357.92

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Solution

The fourth proportional to 21,783.84, 30,067.04 and 12,357.92 is: 17,056.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,783.84 : 30,067.04 = 12,357.92 : x
  2. Step 2: Convert to fraction form
    21,783.84/30,067.04 = 12,357.92/x
  3. Step 3: Cross multiply
    21,783.84x = 30,067.04 × 12,357.92
  4. Step 4: Simplify right side
    21,783.84x = 371,566,074.96
  5. Step 5: Solve for x
    x = 371,566,074.96/21,783.84
  6. Step 6: Final answer
    x = 17,056.96

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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.