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Finding the Fourth Proportional to 21,619.38, 32,431.08 and 6,037.14

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Solution

The fourth proportional to 21,619.38, 32,431.08 and 6,037.14 is: 9,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619.38 : 32,431.08 = 6,037.14 : x
  2. Step 2: Convert to fraction form
    21,619.38/32,431.08 = 6,037.14/x
  3. Step 3: Cross multiply
    21,619.38x = 32,431.08 × 6,037.14
  4. Step 4: Simplify right side
    21,619.38x = 195,790,970.31
  5. Step 5: Solve for x
    x = 195,790,970.31/21,619.38
  6. Step 6: Final answer
    x = 9,056.27

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