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Finding the Fourth Proportional to 20,470.32, 30,692.34 and 9,792.27

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Solution

The fourth proportional to 20,470.32, 30,692.34 and 9,792.27 is: 14,682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.32 : 30,692.34 = 9,792.27 : x
  2. Step 2: Convert to fraction form
    20,470.32/30,692.34 = 9,792.27/x
  3. Step 3: Cross multiply
    20,470.32x = 30,692.34 × 9,792.27
  4. Step 4: Simplify right side
    20,470.32x = 300,547,680.21
  5. Step 5: Solve for x
    x = 300,547,680.21/20,470.32
  6. Step 6: Final answer
    x = 14,682.12

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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.