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Finding the Fourth Proportional to 26,120.82, 36,046.87 and 14,184.16

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Solution

The fourth proportional to 26,120.82, 36,046.87 and 14,184.16 is: 19,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,120.82 : 36,046.87 = 14,184.16 : x
  2. Step 2: Convert to fraction form
    26,120.82/36,046.87 = 14,184.16/x
  3. Step 3: Cross multiply
    26,120.82x = 36,046.87 × 14,184.16
  4. Step 4: Simplify right side
    26,120.82x = 511,294,446.00
  5. Step 5: Solve for x
    x = 511,294,446.00/26,120.82
  6. Step 6: Final answer
    x = 19,574.21

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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.