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Finding the Fourth Proportional to 26,096.76, 36,012.46 and 14,159.64

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Solution

The fourth proportional to 26,096.76, 36,012.46 and 14,159.64 is: 19,539.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,096.76 : 36,012.46 = 14,159.64 : x
  2. Step 2: Convert to fraction form
    26,096.76/36,012.46 = 14,159.64/x
  3. Step 3: Cross multiply
    26,096.76x = 36,012.46 × 14,159.64
  4. Step 4: Simplify right side
    26,096.76x = 509,923,469.11
  5. Step 5: Solve for x
    x = 509,923,469.11/26,096.76
  6. Step 6: Final answer
    x = 19,539.72

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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.