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Finding the Fourth Proportional to 21,786.22, 32,685 and 6,205.06

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Solution

The fourth proportional to 21,786.22, 32,685 and 6,205.06 is: 9,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.22 : 32,685 = 6,205.06 : x
  2. Step 2: Convert to fraction form
    21,786.22/32,685 = 6,205.06/x
  3. Step 3: Cross multiply
    21,786.22x = 32,685 × 6,205.06
  4. Step 4: Simplify right side
    21,786.22x = 202,812,386.10
  5. Step 5: Solve for x
    x = 202,812,386.10/21,786.22
  6. Step 6: Final answer
    x = 9,309.20

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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.