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Finding the Fourth Proportional to 26,505.75, 36,578.02 and 14,570.31

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Solution

The fourth proportional to 26,505.75, 36,578.02 and 14,570.31 is: 20,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505.75 : 36,578.02 = 14,570.31 : x
  2. Step 2: Convert to fraction form
    26,505.75/36,578.02 = 14,570.31/x
  3. Step 3: Cross multiply
    26,505.75x = 36,578.02 × 14,570.31
  4. Step 4: Simplify right side
    26,505.75x = 532,953,245.97
  5. Step 5: Solve for x
    x = 532,953,245.97/26,505.75
  6. Step 6: Final answer
    x = 20,107.08

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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.