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Finding the Fourth Proportional to 26,181.64, 36,130.02 and 14,245

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Solution

The fourth proportional to 26,181.64, 36,130.02 and 14,245 is: 19,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181.64 : 36,130.02 = 14,245 : x
  2. Step 2: Convert to fraction form
    26,181.64/36,130.02 = 14,245/x
  3. Step 3: Cross multiply
    26,181.64x = 36,130.02 × 14,245
  4. Step 4: Simplify right side
    26,181.64x = 514,672,134.90
  5. Step 5: Solve for x
    x = 514,672,134.90/26,181.64
  6. Step 6: Final answer
    x = 19,657.75

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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.