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Finding the Fourth Proportional to 21,690.38, 32,538.21 and 6,108.01

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Solution

The fourth proportional to 21,690.38, 32,538.21 and 6,108.01 is: 9,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.38 : 32,538.21 = 6,108.01 : x
  2. Step 2: Convert to fraction form
    21,690.38/32,538.21 = 6,108.01/x
  3. Step 3: Cross multiply
    21,690.38x = 32,538.21 × 6,108.01
  4. Step 4: Simplify right side
    21,690.38x = 198,743,607.81
  5. Step 5: Solve for x
    x = 198,743,607.81/21,690.38
  6. Step 6: Final answer
    x = 9,162.75

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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.