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Finding the Fourth Proportional to 13,362.14, 18,433.78 and 7,695.40

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Solution

The fourth proportional to 13,362.14, 18,433.78 and 7,695.40 is: 10,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362.14 : 18,433.78 = 7,695.40 : x
  2. Step 2: Convert to fraction form
    13,362.14/18,433.78 = 7,695.40/x
  3. Step 3: Cross multiply
    13,362.14x = 18,433.78 × 7,695.40
  4. Step 4: Simplify right side
    13,362.14x = 141,855,324.08
  5. Step 5: Solve for x
    x = 141,855,324.08/13,362.14
  6. Step 6: Final answer
    x = 10,616.21

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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.