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Finding the Fourth Proportional to 26,505.49, 36,577.86 and 14,405.97

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Solution

The fourth proportional to 26,505.49, 36,577.86 and 14,405.97 is: 19,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,505.49 : 36,577.86 = 14,405.97 : x
  2. Step 2: Convert to fraction form
    26,505.49/36,577.86 = 14,405.97/x
  3. Step 3: Cross multiply
    26,505.49x = 36,577.86 × 14,405.97
  4. Step 4: Simplify right side
    26,505.49x = 526,939,553.82
  5. Step 5: Solve for x
    x = 526,939,553.82/26,505.49
  6. Step 6: Final answer
    x = 19,880.39

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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.