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Finding the Fourth Proportional to 26,115.20, 36,039 and 14,178.53

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Solution

The fourth proportional to 26,115.20, 36,039 and 14,178.53 is: 19,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,115.20 : 36,039 = 14,178.53 : x
  2. Step 2: Convert to fraction form
    26,115.20/36,039 = 14,178.53/x
  3. Step 3: Cross multiply
    26,115.20x = 36,039 × 14,178.53
  4. Step 4: Simplify right side
    26,115.20x = 510,980,042.67
  5. Step 5: Solve for x
    x = 510,980,042.67/26,115.20
  6. Step 6: Final answer
    x = 19,566.38

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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.