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Finding the Fourth Proportional to 13,729.77, 18,947.04 and 7,442.16

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Solution

The fourth proportional to 13,729.77, 18,947.04 and 7,442.16 is: 10,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.77 : 18,947.04 = 7,442.16 : x
  2. Step 2: Convert to fraction form
    13,729.77/18,947.04 = 7,442.16/x
  3. Step 3: Cross multiply
    13,729.77x = 18,947.04 × 7,442.16
  4. Step 4: Simplify right side
    13,729.77x = 141,006,903.21
  5. Step 5: Solve for x
    x = 141,006,903.21/13,729.77
  6. Step 6: Final answer
    x = 10,270.16

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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.