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Finding the Fourth Proportional to 21,828.96, 30,124.44 and 12,878.64

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Solution

The fourth proportional to 21,828.96, 30,124.44 and 12,878.64 is: 17,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.96 : 30,124.44 = 12,878.64 : x
  2. Step 2: Convert to fraction form
    21,828.96/30,124.44 = 12,878.64/x
  3. Step 3: Cross multiply
    21,828.96x = 30,124.44 × 12,878.64
  4. Step 4: Simplify right side
    21,828.96x = 387,961,817.96
  5. Step 5: Solve for x
    x = 387,961,817.96/21,828.96
  6. Step 6: Final answer
    x = 17,772.80

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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.