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Finding the Fourth Proportional to 21,741.84, 30,002 and 12,789.68

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Solution

The fourth proportional to 21,741.84, 30,002 and 12,789.68 is: 17,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,741.84 : 30,002 = 12,789.68 : x
  2. Step 2: Convert to fraction form
    21,741.84/30,002 = 12,789.68/x
  3. Step 3: Cross multiply
    21,741.84x = 30,002 × 12,789.68
  4. Step 4: Simplify right side
    21,741.84x = 383,715,979.36
  5. Step 5: Solve for x
    x = 383,715,979.36/21,741.84
  6. Step 6: Final answer
    x = 17,648.74

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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.