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Finding the Fourth Proportional to 21,633.16, 32,451 and 7,782.16

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Solution

The fourth proportional to 21,633.16, 32,451 and 7,782.16 is: 11,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.16 : 32,451 = 7,782.16 : x
  2. Step 2: Convert to fraction form
    21,633.16/32,451 = 7,782.16/x
  3. Step 3: Cross multiply
    21,633.16x = 32,451 × 7,782.16
  4. Step 4: Simplify right side
    21,633.16x = 252,538,874.16
  5. Step 5: Solve for x
    x = 252,538,874.16/21,633.16
  6. Step 6: Final answer
    x = 11,673.69

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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.