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Finding the Fourth Proportional to 13,429.30, 20,143.85 and 4,069.30

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Solution

The fourth proportional to 13,429.30, 20,143.85 and 4,069.30 is: 6,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.30 : 20,143.85 = 4,069.30 : x
  2. Step 2: Convert to fraction form
    13,429.30/20,143.85 = 4,069.30/x
  3. Step 3: Cross multiply
    13,429.30x = 20,143.85 × 4,069.30
  4. Step 4: Simplify right side
    13,429.30x = 81,971,368.81
  5. Step 5: Solve for x
    x = 81,971,368.81/13,429.30
  6. Step 6: Final answer
    x = 6,103.92

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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.