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Finding the Fourth Proportional to 13,357.50, 20,036.52 and 4,123.50

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Solution

The fourth proportional to 13,357.50, 20,036.52 and 4,123.50 is: 6,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.50 : 20,036.52 = 4,123.50 : x
  2. Step 2: Convert to fraction form
    13,357.50/20,036.52 = 4,123.50/x
  3. Step 3: Cross multiply
    13,357.50x = 20,036.52 × 4,123.50
  4. Step 4: Simplify right side
    13,357.50x = 82,620,590.22
  5. Step 5: Solve for x
    x = 82,620,590.22/13,357.50
  6. Step 6: Final answer
    x = 6,185.33

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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.