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Finding the Fourth Proportional to 20,574.63, 30,861.95 and 5,785.05

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Solution

The fourth proportional to 20,574.63, 30,861.95 and 5,785.05 is: 8,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.63 : 30,861.95 = 5,785.05 : x
  2. Step 2: Convert to fraction form
    20,574.63/30,861.95 = 5,785.05/x
  3. Step 3: Cross multiply
    20,574.63x = 30,861.95 × 5,785.05
  4. Step 4: Simplify right side
    20,574.63x = 178,537,894.92
  5. Step 5: Solve for x
    x = 178,537,894.92/20,574.63
  6. Step 6: Final answer
    x = 8,677.58

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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.