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Finding the Fourth Proportional to 13,960.12, 19,270.02 and 9,774.04

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Solution

The fourth proportional to 13,960.12, 19,270.02 and 9,774.04 is: 13,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,960.12 : 19,270.02 = 9,774.04 : x
  2. Step 2: Convert to fraction form
    13,960.12/19,270.02 = 9,774.04/x
  3. Step 3: Cross multiply
    13,960.12x = 19,270.02 × 9,774.04
  4. Step 4: Simplify right side
    13,960.12x = 188,345,946.28
  5. Step 5: Solve for x
    x = 188,345,946.28/13,960.12
  6. Step 6: Final answer
    x = 13,491.71

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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.