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Finding the Fourth Proportional to 21,766.30, 32,649.48 and 6,184.06

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Solution

The fourth proportional to 21,766.30, 32,649.48 and 6,184.06 is: 9,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.30 : 32,649.48 = 6,184.06 : x
  2. Step 2: Convert to fraction form
    21,766.30/32,649.48 = 6,184.06/x
  3. Step 3: Cross multiply
    21,766.30x = 32,649.48 × 6,184.06
  4. Step 4: Simplify right side
    21,766.30x = 201,906,343.29
  5. Step 5: Solve for x
    x = 201,906,343.29/21,766.30
  6. Step 6: Final answer
    x = 9,276.10

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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.