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Finding the Fourth Proportional to 13,409.66, 18,505.33 and 7,442.29

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Solution

The fourth proportional to 13,409.66, 18,505.33 and 7,442.29 is: 10,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.66 : 18,505.33 = 7,442.29 : x
  2. Step 2: Convert to fraction form
    13,409.66/18,505.33 = 7,442.29/x
  3. Step 3: Cross multiply
    13,409.66x = 18,505.33 × 7,442.29
  4. Step 4: Simplify right side
    13,409.66x = 137,721,967.54
  5. Step 5: Solve for x
    x = 137,721,967.54/13,409.66
  6. Step 6: Final answer
    x = 10,270.36

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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.