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Finding the Fourth Proportional to 20,523.34, 30,784.55 and 5,731.92

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Solution

The fourth proportional to 20,523.34, 30,784.55 and 5,731.92 is: 8,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.34 : 30,784.55 = 5,731.92 : x
  2. Step 2: Convert to fraction form
    20,523.34/30,784.55 = 5,731.92/x
  3. Step 3: Cross multiply
    20,523.34x = 30,784.55 × 5,731.92
  4. Step 4: Simplify right side
    20,523.34x = 176,454,577.84
  5. Step 5: Solve for x
    x = 176,454,577.84/20,523.34
  6. Step 6: Final answer
    x = 8,597.75

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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.