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Finding the Fourth Proportional to 21,812.68, 32,725.47 and 7,021.24

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Solution

The fourth proportional to 21,812.68, 32,725.47 and 7,021.24 is: 10,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.68 : 32,725.47 = 7,021.24 : x
  2. Step 2: Convert to fraction form
    21,812.68/32,725.47 = 7,021.24/x
  3. Step 3: Cross multiply
    21,812.68x = 32,725.47 × 7,021.24
  4. Step 4: Simplify right side
    21,812.68x = 229,773,378.98
  5. Step 5: Solve for x
    x = 229,773,378.98/21,812.68
  6. Step 6: Final answer
    x = 10,533.94

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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.