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Finding the Fourth Proportional to 26,382.72, 36,406.49 and 14,446.20

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Solution

The fourth proportional to 26,382.72, 36,406.49 and 14,446.20 is: 19,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.72 : 36,406.49 = 14,446.20 : x
  2. Step 2: Convert to fraction form
    26,382.72/36,406.49 = 14,446.20/x
  3. Step 3: Cross multiply
    26,382.72x = 36,406.49 × 14,446.20
  4. Step 4: Simplify right side
    26,382.72x = 525,935,363.61
  5. Step 5: Solve for x
    x = 525,935,363.61/26,382.72
  6. Step 6: Final answer
    x = 19,934.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.