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Finding the Fourth Proportional to 20,210.64, 30,320.04 and 8,523.84

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Solution

The fourth proportional to 20,210.64, 30,320.04 and 8,523.84 is: 12,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.64 : 30,320.04 = 8,523.84 : x
  2. Step 2: Convert to fraction form
    20,210.64/30,320.04 = 8,523.84/x
  3. Step 3: Cross multiply
    20,210.64x = 30,320.04 × 8,523.84
  4. Step 4: Simplify right side
    20,210.64x = 258,443,169.75
  5. Step 5: Solve for x
    x = 258,443,169.75/20,210.64
  6. Step 6: Final answer
    x = 12,787.48

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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.