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Finding the Fourth Proportional to 13,981.85, 19,294.94 and 7,694.22

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Solution

The fourth proportional to 13,981.85, 19,294.94 and 7,694.22 is: 10,618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.85 : 19,294.94 = 7,694.22 : x
  2. Step 2: Convert to fraction form
    13,981.85/19,294.94 = 7,694.22/x
  3. Step 3: Cross multiply
    13,981.85x = 19,294.94 × 7,694.22
  4. Step 4: Simplify right side
    13,981.85x = 148,459,513.25
  5. Step 5: Solve for x
    x = 148,459,513.25/13,981.85
  6. Step 6: Final answer
    x = 10,618.02

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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.