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Finding the Fourth Proportional to 21,071.32, 29,074.62 and 13,615

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Solution

The fourth proportional to 21,071.32, 29,074.62 and 13,615 is: 18,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,071.32 : 29,074.62 = 13,615 : x
  2. Step 2: Convert to fraction form
    21,071.32/29,074.62 = 13,615/x
  3. Step 3: Cross multiply
    21,071.32x = 29,074.62 × 13,615
  4. Step 4: Simplify right side
    21,071.32x = 395,850,951.30
  5. Step 5: Solve for x
    x = 395,850,951.30/21,071.32
  6. Step 6: Final answer
    x = 18,786.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.