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Finding the Fourth Proportional to 13,513.80, 18,648.95 and 7,464.43

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Solution

The fourth proportional to 13,513.80, 18,648.95 and 7,464.43 is: 10,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.80 : 18,648.95 = 7,464.43 : x
  2. Step 2: Convert to fraction form
    13,513.80/18,648.95 = 7,464.43/x
  3. Step 3: Cross multiply
    13,513.80x = 18,648.95 × 7,464.43
  4. Step 4: Simplify right side
    13,513.80x = 139,203,697.90
  5. Step 5: Solve for x
    x = 139,203,697.90/13,513.80
  6. Step 6: Final answer
    x = 10,300.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.