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Finding the Fourth Proportional to 21,962.78, 30,308.78 and 12,272.24

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Solution

The fourth proportional to 21,962.78, 30,308.78 and 12,272.24 is: 16,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.78 : 30,308.78 = 12,272.24 : x
  2. Step 2: Convert to fraction form
    21,962.78/30,308.78 = 12,272.24/x
  3. Step 3: Cross multiply
    21,962.78x = 30,308.78 × 12,272.24
  4. Step 4: Simplify right side
    21,962.78x = 371,956,728.72
  5. Step 5: Solve for x
    x = 371,956,728.72/21,962.78
  6. Step 6: Final answer
    x = 16,935.78

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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.