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Finding the Fourth Proportional to 26,197.64, 36,152.74 and 14,261.06

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Solution

The fourth proportional to 26,197.64, 36,152.74 and 14,261.06 is: 19,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,197.64 : 36,152.74 = 14,261.06 : x
  2. Step 2: Convert to fraction form
    26,197.64/36,152.74 = 14,261.06/x
  3. Step 3: Cross multiply
    26,197.64x = 36,152.74 × 14,261.06
  4. Step 4: Simplify right side
    26,197.64x = 515,576,520.34
  5. Step 5: Solve for x
    x = 515,576,520.34/26,197.64
  6. Step 6: Final answer
    x = 19,680.27

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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.