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Finding the Fourth Proportional to 13,861.35, 20,802.95 and 6,462

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Solution

The fourth proportional to 13,861.35, 20,802.95 and 6,462 is: 9,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.35 : 20,802.95 = 6,462 : x
  2. Step 2: Convert to fraction form
    13,861.35/20,802.95 = 6,462/x
  3. Step 3: Cross multiply
    13,861.35x = 20,802.95 × 6,462
  4. Step 4: Simplify right side
    13,861.35x = 134,428,630.59
  5. Step 5: Solve for x
    x = 134,428,630.59/13,861.35
  6. Step 6: Final answer
    x = 9,698.09

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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.