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Finding the Fourth Proportional to 26,382.49, 36,407.82 and 14,445.82

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Solution

The fourth proportional to 26,382.49, 36,407.82 and 14,445.82 is: 19,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,382.49 : 36,407.82 = 14,445.82 : x
  2. Step 2: Convert to fraction form
    26,382.49/36,407.82 = 14,445.82/x
  3. Step 3: Cross multiply
    26,382.49x = 36,407.82 × 14,445.82
  4. Step 4: Simplify right side
    26,382.49x = 525,940,814.31
  5. Step 5: Solve for x
    x = 525,940,814.31/26,382.49
  6. Step 6: Final answer
    x = 19,935.22

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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.