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Finding the Fourth Proportional to 26,022.25, 35,915.57 and 14,844.25

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Solution

The fourth proportional to 26,022.25, 35,915.57 and 14,844.25 is: 20,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022.25 : 35,915.57 = 14,844.25 : x
  2. Step 2: Convert to fraction form
    26,022.25/35,915.57 = 14,844.25/x
  3. Step 3: Cross multiply
    26,022.25x = 35,915.57 × 14,844.25
  4. Step 4: Simplify right side
    26,022.25x = 533,139,699.97
  5. Step 5: Solve for x
    x = 533,139,699.97/26,022.25
  6. Step 6: Final answer
    x = 20,487.84

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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.