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Finding the Fourth Proportional to 26,116.80, 36,041.07 and 14,180.04

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Solution

The fourth proportional to 26,116.80, 36,041.07 and 14,180.04 is: 19,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,116.80 : 36,041.07 = 14,180.04 : x
  2. Step 2: Convert to fraction form
    26,116.80/36,041.07 = 14,180.04/x
  3. Step 3: Cross multiply
    26,116.80x = 36,041.07 × 14,180.04
  4. Step 4: Simplify right side
    26,116.80x = 511,063,814.24
  5. Step 5: Solve for x
    x = 511,063,814.24/26,116.80
  6. Step 6: Final answer
    x = 19,568.39

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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.