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Finding the Fourth Proportional to 20,523.47, 30,784.09 and 8,045.73

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Solution

The fourth proportional to 20,523.47, 30,784.09 and 8,045.73 is: 12,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.47 : 30,784.09 = 8,045.73 : x
  2. Step 2: Convert to fraction form
    20,523.47/30,784.09 = 8,045.73/x
  3. Step 3: Cross multiply
    20,523.47x = 30,784.09 × 8,045.73
  4. Step 4: Simplify right side
    20,523.47x = 247,680,322.52
  5. Step 5: Solve for x
    x = 247,680,322.52/20,523.47
  6. Step 6: Final answer
    x = 12,068.15

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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.