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Finding the Fourth Proportional to 21,924.60, 32,865.30 and 10,822.20

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Solution

The fourth proportional to 21,924.60, 32,865.30 and 10,822.20 is: 16,222.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924.60 : 32,865.30 = 10,822.20 : x
  2. Step 2: Convert to fraction form
    21,924.60/32,865.30 = 10,822.20/x
  3. Step 3: Cross multiply
    21,924.60x = 32,865.30 × 10,822.20
  4. Step 4: Simplify right side
    21,924.60x = 355,674,849.66
  5. Step 5: Solve for x
    x = 355,674,849.66/21,924.60
  6. Step 6: Final answer
    x = 16,222.64

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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.