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Finding the Fourth Proportional to 13,409.18, 18,505.73 and 7,442.02

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Solution

The fourth proportional to 13,409.18, 18,505.73 and 7,442.02 is: 10,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.18 : 18,505.73 = 7,442.02 : x
  2. Step 2: Convert to fraction form
    13,409.18/18,505.73 = 7,442.02/x
  3. Step 3: Cross multiply
    13,409.18x = 18,505.73 × 7,442.02
  4. Step 4: Simplify right side
    13,409.18x = 137,719,883.04
  5. Step 5: Solve for x
    x = 137,719,883.04/13,409.18
  6. Step 6: Final answer
    x = 10,270.57

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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.