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Finding the Fourth Proportional to 26,382.88, 36,406.80 and 14,446.24

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Solution

The fourth proportional to 26,382.88, 36,406.80 and 14,446.24 is: 19,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.88 : 36,406.80 = 14,446.24 : x
  2. Step 2: Convert to fraction form
    26,382.88/36,406.80 = 14,446.24/x
  3. Step 3: Cross multiply
    26,382.88x = 36,406.80 × 14,446.24
  4. Step 4: Simplify right side
    26,382.88x = 525,941,370.43
  5. Step 5: Solve for x
    x = 525,941,370.43/26,382.88
  6. Step 6: Final answer
    x = 19,934.95

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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.