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Finding the Fourth Proportional to 21,780.64, 32,655.84 and 11,924.56

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Solution

The fourth proportional to 21,780.64, 32,655.84 and 11,924.56 is: 17,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.64 : 32,655.84 = 11,924.56 : x
  2. Step 2: Convert to fraction form
    21,780.64/32,655.84 = 11,924.56/x
  3. Step 3: Cross multiply
    21,780.64x = 32,655.84 × 11,924.56
  4. Step 4: Simplify right side
    21,780.64x = 389,406,523.43
  5. Step 5: Solve for x
    x = 389,406,523.43/21,780.64
  6. Step 6: Final answer
    x = 17,878.56

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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.