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Finding the Fourth Proportional to 26,084.85, 35,997.31 and 14,148.16

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Solution

The fourth proportional to 26,084.85, 35,997.31 and 14,148.16 is: 19,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084.85 : 35,997.31 = 14,148.16 : x
  2. Step 2: Convert to fraction form
    26,084.85/35,997.31 = 14,148.16/x
  3. Step 3: Cross multiply
    26,084.85x = 35,997.31 × 14,148.16
  4. Step 4: Simplify right side
    26,084.85x = 509,295,701.45
  5. Step 5: Solve for x
    x = 509,295,701.45/26,084.85
  6. Step 6: Final answer
    x = 19,524.58

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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.