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Finding the Fourth Proportional to 13,357.50, 20,036.14 and 5,458.32

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Solution

The fourth proportional to 13,357.50, 20,036.14 and 5,458.32 is: 8,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.50 : 20,036.14 = 5,458.32 : x
  2. Step 2: Convert to fraction form
    13,357.50/20,036.14 = 5,458.32/x
  3. Step 3: Cross multiply
    13,357.50x = 20,036.14 × 5,458.32
  4. Step 4: Simplify right side
    13,357.50x = 109,363,663.68
  5. Step 5: Solve for x
    x = 109,363,663.68/13,357.50
  6. Step 6: Final answer
    x = 8,187.44

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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.