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Finding the Fourth Proportional to 13,729.96, 18,947.42 and 7,442.32

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Solution

The fourth proportional to 13,729.96, 18,947.42 and 7,442.32 is: 10,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.96 : 18,947.42 = 7,442.32 : x
  2. Step 2: Convert to fraction form
    13,729.96/18,947.42 = 7,442.32/x
  3. Step 3: Cross multiply
    13,729.96x = 18,947.42 × 7,442.32
  4. Step 4: Simplify right side
    13,729.96x = 141,012,762.81
  5. Step 5: Solve for x
    x = 141,012,762.81/13,729.96
  6. Step 6: Final answer
    x = 10,270.44

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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.