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Finding the Fourth Proportional to 13,420.82, 18,521.33 and 7,452.50

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Solution

The fourth proportional to 13,420.82, 18,521.33 and 7,452.50 is: 10,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.82 : 18,521.33 = 7,452.50 : x
  2. Step 2: Convert to fraction form
    13,420.82/18,521.33 = 7,452.50/x
  3. Step 3: Cross multiply
    13,420.82x = 18,521.33 × 7,452.50
  4. Step 4: Simplify right side
    13,420.82x = 138,030,081.96
  5. Step 5: Solve for x
    x = 138,030,081.96/13,420.82
  6. Step 6: Final answer
    x = 10,284.77

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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.