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Finding the Fourth Proportional to 13,570.08, 20,358.30 and 4,209.62

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Solution

The fourth proportional to 13,570.08, 20,358.30 and 4,209.62 is: 6,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.08 : 20,358.30 = 4,209.62 : x
  2. Step 2: Convert to fraction form
    13,570.08/20,358.30 = 4,209.62/x
  3. Step 3: Cross multiply
    13,570.08x = 20,358.30 × 4,209.62
  4. Step 4: Simplify right side
    13,570.08x = 85,700,706.85
  5. Step 5: Solve for x
    x = 85,700,706.85/13,570.08
  6. Step 6: Final answer
    x = 6,315.42

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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.