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Finding the Fourth Proportional to 13,441.52, 20,172 and 6,054.32

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Solution

The fourth proportional to 13,441.52, 20,172 and 6,054.32 is: 9,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.52 : 20,172 = 6,054.32 : x
  2. Step 2: Convert to fraction form
    13,441.52/20,172 = 6,054.32/x
  3. Step 3: Cross multiply
    13,441.52x = 20,172 × 6,054.32
  4. Step 4: Simplify right side
    13,441.52x = 122,127,743.04
  5. Step 5: Solve for x
    x = 122,127,743.04/13,441.52
  6. Step 6: Final answer
    x = 9,085.86

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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.