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Finding the Fourth Proportional to 13,036.44, 19,542.95 and 4,714.50

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Solution

The fourth proportional to 13,036.44, 19,542.95 and 4,714.50 is: 7,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.44 : 19,542.95 = 4,714.50 : x
  2. Step 2: Convert to fraction form
    13,036.44/19,542.95 = 4,714.50/x
  3. Step 3: Cross multiply
    13,036.44x = 19,542.95 × 4,714.50
  4. Step 4: Simplify right side
    13,036.44x = 92,135,151.85
  5. Step 5: Solve for x
    x = 92,135,151.85/13,036.44
  6. Step 6: Final answer
    x = 7,067.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.