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Finding the Fourth Proportional to 13,430.62, 20,145.90 and 3,569.89

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Solution

The fourth proportional to 13,430.62, 20,145.90 and 3,569.89 is: 5,354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.62 : 20,145.90 = 3,569.89 : x
  2. Step 2: Convert to fraction form
    13,430.62/20,145.90 = 3,569.89/x
  3. Step 3: Cross multiply
    13,430.62x = 20,145.90 × 3,569.89
  4. Step 4: Simplify right side
    13,430.62x = 71,918,709.91
  5. Step 5: Solve for x
    x = 71,918,709.91/13,430.62
  6. Step 6: Final answer
    x = 5,354.83

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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.