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Finding the Fourth Proportional to 13,420.80, 18,518.52 and 7,452.30

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Solution

The fourth proportional to 13,420.80, 18,518.52 and 7,452.30 is: 10,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.80 : 18,518.52 = 7,452.30 : x
  2. Step 2: Convert to fraction form
    13,420.80/18,518.52 = 7,452.30/x
  3. Step 3: Cross multiply
    13,420.80x = 18,518.52 × 7,452.30
  4. Step 4: Simplify right side
    13,420.80x = 138,005,566.60
  5. Step 5: Solve for x
    x = 138,005,566.60/13,420.80
  6. Step 6: Final answer
    x = 10,282.96

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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.