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Finding the Fourth Proportional to 26,218.70, 36,181.76 and 14,282

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Solution

The fourth proportional to 26,218.70, 36,181.76 and 14,282 is: 19,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,218.70 : 36,181.76 = 14,282 : x
  2. Step 2: Convert to fraction form
    26,218.70/36,181.76 = 14,282/x
  3. Step 3: Cross multiply
    26,218.70x = 36,181.76 × 14,282
  4. Step 4: Simplify right side
    26,218.70x = 516,747,896.32
  5. Step 5: Solve for x
    x = 516,747,896.32/26,218.70
  6. Step 6: Final answer
    x = 19,709.13

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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.