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Finding the Fourth Proportional to 21,784.68, 32,678.84 and 7,739.28

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Solution

The fourth proportional to 21,784.68, 32,678.84 and 7,739.28 is: 11,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.68 : 32,678.84 = 7,739.28 : x
  2. Step 2: Convert to fraction form
    21,784.68/32,678.84 = 7,739.28/x
  3. Step 3: Cross multiply
    21,784.68x = 32,678.84 × 7,739.28
  4. Step 4: Simplify right side
    21,784.68x = 252,910,712.18
  5. Step 5: Solve for x
    x = 252,910,712.18/21,784.68
  6. Step 6: Final answer
    x = 11,609.57

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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.