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Finding the Fourth Proportional to 20,532.32, 30,823.98 and 20,437.56

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Solution

The fourth proportional to 20,532.32, 30,823.98 and 20,437.56 is: 30,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.32 : 30,823.98 = 20,437.56 : x
  2. Step 2: Convert to fraction form
    20,532.32/30,823.98 = 20,437.56/x
  3. Step 3: Cross multiply
    20,532.32x = 30,823.98 × 20,437.56
  4. Step 4: Simplify right side
    20,532.32x = 629,966,940.69
  5. Step 5: Solve for x
    x = 629,966,940.69/20,532.32
  6. Step 6: Final answer
    x = 30,681.72

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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.