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Finding the Fourth Proportional to 21,633, 32,465.82 and 11,243.88

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Solution

The fourth proportional to 21,633, 32,465.82 and 11,243.88 is: 16,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633 : 32,465.82 = 11,243.88 : x
  2. Step 2: Convert to fraction form
    21,633/32,465.82 = 11,243.88/x
  3. Step 3: Cross multiply
    21,633x = 32,465.82 × 11,243.88
  4. Step 4: Simplify right side
    21,633x = 365,041,784.18
  5. Step 5: Solve for x
    x = 365,041,784.18/21,633
  6. Step 6: Final answer
    x = 16,874.30

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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.