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Finding the Fourth Proportional to 13,453.08, 20,165.04 and 6,513

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Solution

The fourth proportional to 13,453.08, 20,165.04 and 6,513 is: 9,762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.08 : 20,165.04 = 6,513 : x
  2. Step 2: Convert to fraction form
    13,453.08/20,165.04 = 6,513/x
  3. Step 3: Cross multiply
    13,453.08x = 20,165.04 × 6,513
  4. Step 4: Simplify right side
    13,453.08x = 131,334,905.52
  5. Step 5: Solve for x
    x = 131,334,905.52/13,453.08
  6. Step 6: Final answer
    x = 9,762.44

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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.