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Finding the Fourth Proportional to 13,981.62, 19,294.64 and 7,694

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Solution

The fourth proportional to 13,981.62, 19,294.64 and 7,694 is: 10,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.62 : 19,294.64 = 7,694 : x
  2. Step 2: Convert to fraction form
    13,981.62/19,294.64 = 7,694/x
  3. Step 3: Cross multiply
    13,981.62x = 19,294.64 × 7,694
  4. Step 4: Simplify right side
    13,981.62x = 148,452,960.16
  5. Step 5: Solve for x
    x = 148,452,960.16/13,981.62
  6. Step 6: Final answer
    x = 10,617.72

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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.