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Finding the Fourth Proportional to 21,719.06, 32,574 and 6,133.04

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Solution

The fourth proportional to 21,719.06, 32,574 and 6,133.04 is: 9,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,719.06 : 32,574 = 6,133.04 : x
  2. Step 2: Convert to fraction form
    21,719.06/32,574 = 6,133.04/x
  3. Step 3: Cross multiply
    21,719.06x = 32,574 × 6,133.04
  4. Step 4: Simplify right side
    21,719.06x = 199,777,644.96
  5. Step 5: Solve for x
    x = 199,777,644.96/21,719.06
  6. Step 6: Final answer
    x = 9,198.26

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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.