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Finding the Fourth Proportional to 13,388.50, 18,475.62 and 7,420.26

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Solution

The fourth proportional to 13,388.50, 18,475.62 and 7,420.26 is: 10,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388.50 : 18,475.62 = 7,420.26 : x
  2. Step 2: Convert to fraction form
    13,388.50/18,475.62 = 7,420.26/x
  3. Step 3: Cross multiply
    13,388.50x = 18,475.62 × 7,420.26
  4. Step 4: Simplify right side
    13,388.50x = 137,093,904.06
  5. Step 5: Solve for x
    x = 137,093,904.06/13,388.50
  6. Step 6: Final answer
    x = 10,239.68

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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.