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Finding the Fourth Proportional to 23,878.89, 35,824.41 and 14,026.50

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Solution

The fourth proportional to 23,878.89, 35,824.41 and 14,026.50 is: 21,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.89 : 35,824.41 = 14,026.50 : x
  2. Step 2: Convert to fraction form
    23,878.89/35,824.41 = 14,026.50/x
  3. Step 3: Cross multiply
    23,878.89x = 35,824.41 × 14,026.50
  4. Step 4: Simplify right side
    23,878.89x = 502,491,086.87
  5. Step 5: Solve for x
    x = 502,491,086.87/23,878.89
  6. Step 6: Final answer
    x = 21,043.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.