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Finding the Fourth Proportional to 13,409.96, 18,505.68 and 7,442.50

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Solution

The fourth proportional to 13,409.96, 18,505.68 and 7,442.50 is: 10,270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.96 : 18,505.68 = 7,442.50 : x
  2. Step 2: Convert to fraction form
    13,409.96/18,505.68 = 7,442.50/x
  3. Step 3: Cross multiply
    13,409.96x = 18,505.68 × 7,442.50
  4. Step 4: Simplify right side
    13,409.96x = 137,728,523.40
  5. Step 5: Solve for x
    x = 137,728,523.40/13,409.96
  6. Step 6: Final answer
    x = 10,270.61

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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.