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Finding the Fourth Proportional to 21,410.28, 32,080.86 and 13,185

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Solution

The fourth proportional to 21,410.28, 32,080.86 and 13,185 is: 19,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.28 : 32,080.86 = 13,185 : x
  2. Step 2: Convert to fraction form
    21,410.28/32,080.86 = 13,185/x
  3. Step 3: Cross multiply
    21,410.28x = 32,080.86 × 13,185
  4. Step 4: Simplify right side
    21,410.28x = 422,986,139.10
  5. Step 5: Solve for x
    x = 422,986,139.10/21,410.28
  6. Step 6: Final answer
    x = 19,756.22

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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.