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Finding the Fourth Proportional to 20,709, 28,581.12 and 12,325.50

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Solution

The fourth proportional to 20,709, 28,581.12 and 12,325.50 is: 17,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709 : 28,581.12 = 12,325.50 : x
  2. Step 2: Convert to fraction form
    20,709/28,581.12 = 12,325.50/x
  3. Step 3: Cross multiply
    20,709x = 28,581.12 × 12,325.50
  4. Step 4: Simplify right side
    20,709x = 352,276,594.56
  5. Step 5: Solve for x
    x = 352,276,594.56/20,709
  6. Step 6: Final answer
    x = 17,010.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.