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Finding the Fourth Proportional to 13,981.50, 19,294.61 and 7,694.01

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Solution

The fourth proportional to 13,981.50, 19,294.61 and 7,694.01 is: 10,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.50 : 19,294.61 = 7,694.01 : x
  2. Step 2: Convert to fraction form
    13,981.50/19,294.61 = 7,694.01/x
  3. Step 3: Cross multiply
    13,981.50x = 19,294.61 × 7,694.01
  4. Step 4: Simplify right side
    13,981.50x = 148,452,883.82
  5. Step 5: Solve for x
    x = 148,452,883.82/13,981.50
  6. Step 6: Final answer
    x = 10,617.81

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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.